Danielyan, S.; Guterman, A.; Kreines, E.; Pakovich, F. Integrability of matrices. (English) Zbl 07792525 Linear Algebra Appl. 684, 37-62 (2024). MSC: 15A20 15A21 15A18 12D05 26B05 26B12 26B15 PDFBibTeX XMLCite \textit{S. Danielyan} et al., Linear Algebra Appl. 684, 37--62 (2024; Zbl 07792525) Full Text: DOI arXiv
Guterman, A. E.; Spiridonov, I. A. On linear preservers of permanental rank. (English) Zbl 1527.15032 Linear Algebra Appl. 680, 325-340 (2024). MSC: 15A86 15A04 15A15 47L05 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{I. A. Spiridonov}, Linear Algebra Appl. 680, 325--340 (2024; Zbl 1527.15032) Full Text: DOI arXiv
Evseev, I. M.; Guterman, A. E. A range of the multidimensional permanent on (0, 1)-matrices. (English) Zbl 07814311 Ambily, A. A. (ed.) et al., Semigroups, algebras and operator theory. ICSAOT 2022. Selected papers based on the presentations at the international conference, CUSAT, Kerala, India, March 28–31, 2022. Singapore: Springer. Springer Proc. Math. Stat. 436, 127-147 (2023). MSC: 15A15 15B34 15B36 PDFBibTeX XMLCite \textit{I. M. Evseev} and \textit{A. E. Guterman}, Springer Proc. Math. Stat. 436, 127--147 (2023; Zbl 07814311) Full Text: DOI
Guterman, Alexander; Meshulam, Roy; Spiridonov, Igor Maximal generalized rank in graphical matrix spaces. (English) Zbl 1525.05111 Isr. J. Math. 256, No. 1, 297-309 (2023). MSC: 05C50 15A30 15A03 15A15 PDFBibTeX XMLCite \textit{A. Guterman} et al., Isr. J. Math. 256, No. 1, 297--309 (2023; Zbl 1525.05111) Full Text: DOI arXiv
Alpin, Yu. A.; Guterman, A. E.; Shafeev, E. R. An upper bound for the chainable index. (English. Russian original) Zbl 1519.15028 J. Math. Sci., New York 272, No. 4, 487-495 (2023); translation from Zap. Nauchn. Semin. POMI 514, 5-17 (2022). MSC: 15B99 05C20 11C20 PDFBibTeX XMLCite \textit{Yu. A. Alpin} et al., J. Math. Sci., New York 272, No. 4, 487--495 (2023; Zbl 1519.15028); translation from Zap. Nauchn. Semin. POMI 514, 5--17 (2022) Full Text: DOI
Costara, C.; Guterman, A. E.; Maksaev, A. M.; Promyslov, V. V. Automorphisms of the total digraph for the ring of square matrices over a field. (English) Zbl 1515.05110 Linear Algebra Appl. 666, 129-143 (2023). Reviewer: Xueliang Li (Tianjin) MSC: 05C50 05C20 15A86 PDFBibTeX XMLCite \textit{C. Costara} et al., Linear Algebra Appl. 666, 129--143 (2023; Zbl 1515.05110) Full Text: DOI
Bakhadly, B.; Guterman, A.; de la Puente, M. J. Normal tropical \((0,-1)\)-matrices and their orthogonal sets. (English. Russian original) Zbl 1509.15019 J. Math. Sci., New York 269, No. 5, 614-631 (2023); translation from Fundam. Prikl. Mat. 24, No. 1, 5-30 (2022). MSC: 15B10 15A80 05C50 PDFBibTeX XMLCite \textit{B. Bakhadly} et al., J. Math. Sci., New York 269, No. 5, 614--631 (2023; Zbl 1509.15019); translation from Fundam. Prikl. Mat. 24, No. 1, 5--30 (2022) Full Text: DOI
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel Majorization for \((0, \pm 1)\)-matrices. (English) Zbl 07655693 Linear Algebra Appl. 663, 200-221 (2023). MSC: 06A06 15B51 PDFBibTeX XMLCite \textit{G. Dahl} et al., Linear Algebra Appl. 663, 200--221 (2023; Zbl 07655693) Full Text: DOI
Guterman, Alexander; Shteyner, Pavel Linear operators preserving strong majorization of (0,1)-matrices. (English) Zbl 07628670 Linear Algebra Appl. 658, 116-150 (2023). MSC: 06A06 15B51 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{P. Shteyner}, Linear Algebra Appl. 658, 116--150 (2023; Zbl 07628670) Full Text: DOI
Guterman, Alexander; Zhilina, Svetlana On the lengths of Okubo algebras. arXiv:2312.03174 Preprint, arXiv:2312.03174 [math.RA] (2023). MSC: 15A03 17A20 17A75 BibTeX Cite \textit{A. Guterman} and \textit{S. Zhilina}, ``On the lengths of Okubo algebras'', Preprint, arXiv:2312.03174 [math.RA] (2023) Full Text: arXiv OA License
Guterman, Alexander; Zhilina, Svetlana On the lengths of descendingly flexible and descendingly alternative algebras. arXiv:2312.03170 Preprint, arXiv:2312.03170 [math.RA] (2023). MSC: 15A03 17A20 17A30 17D05 BibTeX Cite \textit{A. Guterman} and \textit{S. Zhilina}, ``On the lengths of descendingly flexible and descendingly alternative algebras'', Preprint, arXiv:2312.03170 [math.RA] (2023) Full Text: arXiv OA License
Elyze, Madeleine; Guterman, Alexander; Morrison, Ralph; Šivic, Klemen Higher-distance commuting varieties. (English) Zbl 1511.14078 Linear Multilinear Algebra 70, No. 17, 3248-3270 (2022). MSC: 14M12 15A27 PDFBibTeX XMLCite \textit{M. Elyze} et al., Linear Multilinear Algebra 70, No. 17, 3248--3270 (2022; Zbl 1511.14078) Full Text: DOI arXiv
Guterman, A. E.; Maksaev, A. M.; Promyslov, V. V. Pairs of maps preserving singularity on subsets of matrix algebras. (English) Zbl 1491.15004 Linear Algebra Appl. 644, 1-27 (2022). Reviewer: John D. Dixon (Ottawa) MSC: 15A04 15A22 15A30 15A86 05C50 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., Linear Algebra Appl. 644, 1--27 (2022; Zbl 1491.15004) Full Text: DOI
Guterman, A. E.; Evseev, I. M.; Taranenko, A. A. Values of the permanent function on multidimensional \((0,1) \)-matrices. (English. Russian original) Zbl 1492.15005 Sib. Math. J. 63, No. 2, 262-276 (2022); translation from Sib. Mat. Zh. 63, No. 2, 316-333 (2022). Reviewer: Mihail Voicu (Iaşi) MSC: 15A15 15B34 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., Sib. Math. J. 63, No. 2, 262--276 (2022; Zbl 1492.15005); translation from Sib. Mat. Zh. 63, No. 2, 316--333 (2022) Full Text: DOI
Guterman, Alexander; Kudryavtsev, Dmitry Steady growth of length function and Malcev algebras. arXiv:2203.03595 Preprint, arXiv:2203.03595 [math.RA] (2022). MSC: 15A03 17A99 15A78 BibTeX Cite \textit{A. Guterman} and \textit{D. Kudryavtsev}, ``Steady growth of length function and Malcev algebras'', Preprint, arXiv:2203.03595 [math.RA] (2022) Full Text: arXiv OA License
Guterman, Alexander; Kreines, Elena; Thomassen, Carsten Linear transformations of tropical matrices preserving the cyclicity index. (English) Zbl 1476.05116 Spec. Matrices 9, 112-118 (2021). MSC: 05C50 05C38 15A80 PDFBibTeX XMLCite \textit{A. Guterman} et al., Spec. Matrices 9, 112--118 (2021; Zbl 1476.05116) Full Text: DOI
Guterman, A. E.; Duffner, M. A.; Spiridonov, I. A. Linear immanant converters on skew-symmetric matrices of order 4. (English. Russian original) Zbl 1465.15004 J. Math. Sci., New York 255, No. 3, 242-253 (2021); translation from Zap. Nauchn. Semin. POMI 496, 43-60 (2020). MSC: 15A04 15A86 15A15 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., J. Math. Sci., New York 255, No. 3, 242--253 (2021; Zbl 1465.15004); translation from Zap. Nauchn. Semin. POMI 496, 43--60 (2020) Full Text: DOI
Duffner, M. A.; Guterman, A. E.; Spiridonov, I. A. Converting immanants on skew-symmetric matrices. (English) Zbl 1467.15001 Linear Algebra Appl. 618, 76-96 (2021). Reviewer: Jorma K. Merikoski (Tampere) MSC: 15A15 15A04 15A86 15B57 PDFBibTeX XMLCite \textit{M. A. Duffner} et al., Linear Algebra Appl. 618, 76--96 (2021; Zbl 1467.15001) Full Text: DOI
Guterman, A. E.; Kudryavtsev, D. K. Length function and characteristic sequences of quadratic algebras. (English) Zbl 1476.17002 J. Algebra 579, 428-455 (2021). MSC: 17A45 15A03 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{D. K. Kudryavtsev}, J. Algebra 579, 428--455 (2021; Zbl 1476.17002) Full Text: DOI
Danielyan, S. V.; Guterman, A. E.; Ng, T. W. Integrability of diagonalizable matrices and a dual Schoenberg type inequality. (English) Zbl 1460.15011 J. Math. Anal. Appl. 498, No. 2, Article ID 124909, 23 p. (2021). MSC: 15A16 15A45 26B05 26D10 PDFBibTeX XMLCite \textit{S. V. Danielyan} et al., J. Math. Anal. Appl. 498, No. 2, Article ID 124909, 23 p. (2021; Zbl 1460.15011) Full Text: DOI arXiv
Guterman, Alexander; Shteyner, Pavel Linear converters of weak, directional and strong majorizations. (English) Zbl 1481.15020 Linear Algebra Appl. 613, 320-346 (2021). MSC: 15A45 15A86 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{P. Shteyner}, Linear Algebra Appl. 613, 320--346 (2021; Zbl 1481.15020) Full Text: DOI
Guterman, Alexander; Johnson, Marianne; Kambites, Mark; Maksaev, Artem Linear functions preserving Green’s relations over fields. (English) Zbl 1465.15033 Linear Algebra Appl. 611, 310-333 (2021). Reviewer: Janko Marovt (Maribor) MSC: 15A86 15A21 15B33 15A04 12K10 PDFBibTeX XMLCite \textit{A. Guterman} et al., Linear Algebra Appl. 611, 310--333 (2021; Zbl 1465.15033) Full Text: DOI arXiv
Guterman, A. E.; Shteyner, P. M. Linear operators preserving majorization of matrix tuples. (English. Russian original) Zbl 1469.15031 Vestn. St. Petersbg. Univ., Math. 53, No. 2, 136-144 (2020); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 217-229 (2020). MSC: 15A86 15A45 47A63 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{P. M. Shteyner}, Vestn. St. Petersbg. Univ., Math. 53, No. 2, 136--144 (2020; Zbl 1469.15031); translation from Vestn. St-Peterbg. Univ., Ser. I, Mat. Mekh. Astron. 7(65), No. 2, 217--229 (2020) Full Text: DOI
Guterman, A. E.; Spiridonov, I. A. Permanent Polya problem for additive surjective maps. (English) Zbl 1481.15004 Linear Algebra Appl. 599, 140-155 (2020). MSC: 15A15 15A04 15A86 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{I. A. Spiridonov}, Linear Algebra Appl. 599, 140--155 (2020; Zbl 1481.15004) Full Text: DOI
Bakhadly, Bakhad; Guterman, Alexander; de la Puente, María Jesús Orthogonality for \((0, -1)\) tropical normal matrices. (English) Zbl 1437.15039 Spec. Matrices 8, 40-60 (2020). MSC: 15B33 15A80 14T10 PDFBibTeX XMLCite \textit{B. Bakhadly} et al., Spec. Matrices 8, 40--60 (2020; Zbl 1437.15039) Full Text: DOI arXiv
Guterman, A. E.; Kudryavtsev, D. K. Upper bounds for the length of non-associative algebras. (English) Zbl 1462.17003 J. Algebra 544, 483-497 (2020). Reviewer: Vyacheslav A. Artamonov (Moskva) MSC: 17A30 15A03 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{D. K. Kudryavtsev}, J. Algebra 544, 483--497 (2020; Zbl 1462.17003) Full Text: DOI arXiv
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel Majorization for \((0,1)\)-matrices. (English) Zbl 1427.15017 Linear Algebra Appl. 585, 147-163 (2020). Reviewer: Ivan Chajda (Přerov) MSC: 15A21 15B34 06A06 15A24 15A12 PDFBibTeX XMLCite \textit{G. Dahl} et al., Linear Algebra Appl. 585, 147--163 (2020; Zbl 1427.15017) Full Text: DOI
Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan Graph characterization of fully indecomposable nonconvertible \((0, 1)\)-matrices with minimal number of ones. (English) Zbl 1433.05174 Ars Math. Contemp. 17, No. 1, 141-151 (2019). MSC: 05C40 15A27 15A04 05C50 05B20 15A15 PDFBibTeX XMLCite \textit{M. Budrevich} et al., Ars Math. Contemp. 17, No. 1, 141--151 (2019; Zbl 1433.05174) Full Text: DOI
Budrevich, M. V.; Guterman, A. E.; Duffner, M. A. Linear preservers of the permanent on skew-symmetric matrices. (English. Russian original) Zbl 1426.15037 J. Math. Sci., New York 240, No. 6, 724-732 (2019); translation from Zap. Nauchn. Semin. POMI 472, 31-43 (2018). MSC: 15A86 15A04 15B57 PDFBibTeX XMLCite \textit{M. V. Budrevich} et al., J. Math. Sci., New York 240, No. 6, 724--732 (2019; Zbl 1426.15037); translation from Zap. Nauchn. Semin. POMI 472, 31--43 (2018) Full Text: DOI
Guterman, Alexander; Lemos, Rute; Soares, Graça More on geometry of Krein space \(C\)-numerical range. (English) Zbl 1428.15021 Appl. Math. Comput. 352, 258-269 (2019). MSC: 15A60 15A15 15A86 PDFBibTeX XMLCite \textit{A. Guterman} et al., Appl. Math. Comput. 352, 258--269 (2019; Zbl 1428.15021) Full Text: DOI
Guterman, A. E.; Markova, O. V.; Mehrmann, V. Length realizability for pairs of quasi-commuting matrices. (English) Zbl 1414.15023 Linear Algebra Appl. 568, 135-154 (2019). MSC: 15A30 16S50 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., Linear Algebra Appl. 568, 135--154 (2019; Zbl 1414.15023) Full Text: DOI
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga Double centralizing theorem with respect to \(q\)-commutativity relation. (English) Zbl 1429.15015 J. Algebra Appl. 18, No. 1, Article ID 1950003, 15 p. (2019). Reviewer: Leila Khatami (Schenectady) MSC: 15A30 15A27 15B33 PDFBibTeX XMLCite \textit{G. Dolinar} et al., J. Algebra Appl. 18, No. 1, Article ID 1950003, 15 p. (2019; Zbl 1429.15015) Full Text: DOI
Budrevich, M. V.; Guterman, A. E. Kräuter conjecture on permanents is true. (English) Zbl 1443.15005 J. Comb. Theory, Ser. A 162, 306-343 (2019). Reviewer: Arnold Richard Kräuter (Leoben) MSC: 15A15 15B36 05B20 PDFBibTeX XMLCite \textit{M. V. Budrevich} and \textit{A. E. Guterman}, J. Comb. Theory, Ser. A 162, 306--343 (2019; Zbl 1443.15005) Full Text: DOI arXiv
Budrevich, Mikhail V.; Duffner, M. Antónia; Guterman, Alexander E. Absence of linear permanent-determinant converters on skew-symmetric matrices. (English) Zbl 1463.15003 Sarajevo J. Math. 14(27), No. 2, 143-155 (2018). MSC: 15A04 15A15 PDFBibTeX XMLCite \textit{M. V. Budrevich} et al., Sarajevo J. Math. 14(27), No. 2, 143--155 (2018; Zbl 1463.15003)
Guterman, A. E.; Kreines, E. M.; Wang, Qing-Wen Monotone linear transformations on matrices over semirings. (English. Russian original) Zbl 1400.15006 J. Math. Sci., New York 233, No. 5, 675-686 (2018); translation from Fundam. Prikl. Mat. 21, No. 1, 105-122 (2016). MSC: 15A04 15A54 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., J. Math. Sci., New York 233, No. 5, 675--686 (2018; Zbl 1400.15006); translation from Fundam. Prikl. Mat. 21, No. 1, 105--122 (2016) Full Text: DOI
Guterman, Alexander E.; Maksaev, Artem M. Preserving \(\lambda\)-scrambling matrices. (English) Zbl 1396.05070 Fundam. Inform. 162, No. 2-3, 119-141 (2018). MSC: 05C50 05C20 15B51 15A42 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{A. M. Maksaev}, Fundam. Inform. 162, No. 2--3, 119--141 (2018; Zbl 1396.05070) Full Text: DOI
Guterman, A.; Soares, G. On the determinantal range of matrix products. (English. Russian original) Zbl 1395.15005 J. Math. Sci., New York 232, No. 6, 805-815 (2018); translation from Zap. Nauchn. Semin. POMI 463, 94-111 (2017). MSC: 15A15 15A18 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{G. Soares}, J. Math. Sci., New York 232, No. 6, 805--815 (2018; Zbl 1395.15005); translation from Zap. Nauchn. Semin. POMI 463, 94--111 (2017) Full Text: DOI
Budrevich, M. V.; Guterman, A. E.; Taranin, K. A. On the Kräuter-Seifter theorem on permanent divisibility. (English. Russian original) Zbl 1417.15009 J. Math. Sci., New York 232, No. 6, 760-767 (2018); translation from Zap. Nauchn. Semin. POMI 463, 25-35 (2017). MSC: 15A15 15B34 PDFBibTeX XMLCite \textit{M. V. Budrevich} et al., J. Math. Sci., New York 232, No. 6, 760--767 (2018; Zbl 1417.15009); translation from Zap. Nauchn. Semin. POMI 463, 25--35 (2017) Full Text: DOI
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel Majorization for matrix classes. (English) Zbl 1401.15039 Linear Algebra Appl. 555, 201-221 (2018). MSC: 15B51 06A06 PDFBibTeX XMLCite \textit{G. Dahl} et al., Linear Algebra Appl. 555, 201--221 (2018; Zbl 1401.15039) Full Text: DOI Link
Guterman, A. E.; Maksaev, A. M. Additive maps preserving the scrambling index are bijective. (English) Zbl 1413.05038 Acta Sci. Math. 84, No. 1-2, 19-38 (2018). Reviewer: John D. Dixon (Ottawa) MSC: 05B20 15A86 15B34 16Y60 05C20 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{A. M. Maksaev}, Acta Sci. Math. 84, No. 1--2, 19--38 (2018; Zbl 1413.05038) Full Text: DOI
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga Extremal generalized centralizers in matrix algebras. (English) Zbl 1393.15023 Commun. Algebra 46, No. 7, 3147-3154 (2018). MSC: 15A30 15A27 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Commun. Algebra 46, No. 7, 3147--3154 (2018; Zbl 1393.15023) Full Text: DOI
Guterman, A. E.; Maksaev, A. M. Maps preserving matrices of extremal scrambling index. (English) Zbl 1391.15091 Spec. Matrices 6, 166-179 (2018). MSC: 15A86 05C38 05C50 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{A. M. Maksaev}, Spec. Matrices 6, 166--179 (2018; Zbl 1391.15091) Full Text: DOI
Guterman, A. E.; Taranin, K. A. On the values of the permanent of \((0,1)\)-matrices. (English) Zbl 1391.15019 Linear Algebra Appl. 552, 256-276 (2018). MSC: 15A15 15B35 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{K. A. Taranin}, Linear Algebra Appl. 552, 256--276 (2018; Zbl 1391.15019) Full Text: DOI
Guterman, A. E.; Maksaev, A. M. Maps preserving scrambling index. (English) Zbl 1392.15039 Linear Multilinear Algebra 66, No. 4, 840-851 (2018). Reviewer: Janko Marovt (Maribor) MSC: 15A86 05C38 05C50 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{A. ~M. Maksaev}, Linear Multilinear Algebra 66, No. 4, 840--851 (2018; Zbl 1392.15039) Full Text: DOI
Guterman, Alexander; Johnson, Marianne; Kambites, Mark Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. (English) Zbl 1392.15040 Linear Algebra Appl. 545, 1-14 (2018). Reviewer: Janko Marovt (Maribor) MSC: 15A86 15A80 16Y60 12K10 PDFBibTeX XMLCite \textit{A. Guterman} et al., Linear Algebra Appl. 545, 1--14 (2018; Zbl 1392.15040) Full Text: DOI Link
Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. (English) Zbl 1382.15027 Linear Algebra Appl. 543, 234-250 (2018). MSC: 15A30 13E10 16S50 15A21 PDFBibTeX XMLCite \textit{A. Guterman} et al., Linear Algebra Appl. 543, 234--250 (2018; Zbl 1382.15027) Full Text: DOI
Duffner, M. A.; Guterman, A. E. Converting immanants on singular symmetric matrices. (English) Zbl 1376.15003 Lobachevskii J. Math. 38, No. 4, 630-636 (2017). Reviewer: John D. Dixon (Ottawa) MSC: 15A15 PDFBibTeX XMLCite \textit{M. A. Duffner} and \textit{A. E. Guterman}, Lobachevskii J. Math. 38, No. 4, 630--636 (2017; Zbl 1376.15003) Full Text: DOI
Guterman, Alexander; Johnson, Marianne; Kambites, Mark Linear isomorphisms preserving Green’s relations for matrices over semirings. arXiv:1709.05277 Preprint, arXiv:1709.05277 [math.RA] (2017). MSC: 15A86 15A80 16Y60 12K10 BibTeX Cite \textit{A. Guterman} et al., ``Linear isomorphisms preserving Green's relations for matrices over semirings'', Preprint, arXiv:1709.05277 [math.RA] (2017) Full Text: arXiv OA License
Guterman, Alexander; Lemos, Rute; Soares, Graça On the \(C\)-determinantal range for special classes of matrices. (English) Zbl 1410.15045 Appl. Math. Comput. 275, 86-94 (2016). MSC: 15A60 15A15 15A86 PDFBibTeX XMLCite \textit{A. Guterman} et al., Appl. Math. Comput. 275, 86--94 (2016; Zbl 1410.15045) Full Text: DOI
Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan Lower bounds for Pólya’s problem on permanent. (English) Zbl 1347.05108 Int. J. Algebra Comput. 26, No. 6, 1237-1255 (2016). MSC: 05C40 15A27 15A04 PDFBibTeX XMLCite \textit{M. Budrevich} et al., Int. J. Algebra Comput. 26, No. 6, 1237--1255 (2016; Zbl 1347.05108) Full Text: DOI
Guterman, Alexander E.; Markova, O. V. The realizability problem for the values of the length function of quasi-commuting matrix pairs. (English. Russian original) Zbl 1353.15015 J. Math. Sci., New York 216, No. 6, 761-769 (2016); translation from Zap. Nauchn. Semin. POMI 439, 59-73 (2015). Reviewer: John D. Dixon (Ottawa) MSC: 15A27 15A24 15A30 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{O. V. Markova}, J. Math. Sci., New York 216, No. 6, 761--769 (2016; Zbl 1353.15015); translation from Zap. Nauchn. Semin. POMI 439, 59--73 (2015) Full Text: DOI
Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A. On the divisibility of permanents for \((\pm1)\)-matrices. (English. Russian original) Zbl 1355.15006 J. Math. Sci., New York 216, No. 6, 738-745 (2016); translation from Zap. Nauchn. Semin. POMI 439, 26-37 (2015). Reviewer: Roswitha Rissner (Graz) MSC: 15A15 15B34 PDFBibTeX XMLCite \textit{M. V. Budrevich} et al., J. Math. Sci., New York 216, No. 6, 738--745 (2016; Zbl 1355.15006); translation from Zap. Nauchn. Semin. POMI 439, 26--37 (2015) Full Text: DOI
Guterman, A. E.; Markova, O. V.; Mehrmann, V. Lengths of quasi-commutative pairs of matrices. (English) Zbl 1334.15050 Linear Algebra Appl. 498, 450-470 (2016). MSC: 15A30 16S50 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., Linear Algebra Appl. 498, 450--470 (2016; Zbl 1334.15050) Full Text: DOI
Guterman, Alexander; Shitov, Yaroslav Rank functions of tropical matrices. (English) Zbl 1334.15004 Linear Algebra Appl. 498, 326-348 (2016). MSC: 15A03 15A23 15A80 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{Y. Shitov}, Linear Algebra Appl. 498, 326--348 (2016; Zbl 1334.15004) Full Text: DOI
Efimov, Mikhail A.; Guterman, Alexander E. Continuous monotone maps on matrices for orders induced by the group inverse. (English) Zbl 1339.15003 J. Math. Inequal. 10, No. 1, 123-133 (2016). Reviewer: Rabe von Randow (Bonn) MSC: 15A09 15A04 15B48 15A45 PDFBibTeX XMLCite \textit{M. A. Efimov} and \textit{A. E. Guterman}, J. Math. Inequal. 10, No. 1, 123--133 (2016; Zbl 1339.15003) Full Text: DOI
Guterman, Alexander; Herrero, Alicia; Thome, Néstor New matrix partial order based on spectrally orthogonal matrix decomposition. (English) Zbl 1375.15014 Linear Multilinear Algebra 64, No. 3, 362-374 (2016). Reviewer: C. M. da Fonseca (Safat) MSC: 15A18 15A09 06A06 PDFBibTeX XMLCite \textit{A. Guterman} et al., Linear Multilinear Algebra 64, No. 3, 362--374 (2016; Zbl 1375.15014) Full Text: DOI Link
Bakhadly, B. R.; Guterman, A. E.; Markova, O. V. Graphs defined by orthogonality. (English. Russian original) Zbl 1343.16020 J. Math. Sci., New York 207, No. 5, 698-717 (2015); translation from Zap. Nauchn. Semin. POMI 428, 49-80 (2014). Reviewer: Anna Kuzmina (Barnaul) MSC: 16S50 05C25 05C40 05C50 15A30 PDFBibTeX XMLCite \textit{B. R. Bakhadly} et al., J. Math. Sci., New York 207, No. 5, 698--717 (2015; Zbl 1343.16020); translation from Zap. Nauchn. Semin. POMI 428, 49--80 (2014) Full Text: DOI
Efimov, M. A.; Guterman, A. E. Maps on operators strongly preserving sharp order. (English) Zbl 1345.15007 Oper. Matrices 9, No. 3, 711-731 (2015). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A86 06F05 15B48 15A04 47A05 PDFBibTeX XMLCite \textit{M. A. Efimov} and \textit{A. E. Guterman}, Oper. Matrices 9, No. 3, 711--731 (2015; Zbl 1345.15007) Full Text: DOI Link
Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav The arctic rank of a Boolean matrix. (English) Zbl 1312.15043 J. Algebra 433, 168-182 (2015). MSC: 15B34 15A03 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., J. Algebra 433, 168--182 (2015; Zbl 1312.15043) Full Text: DOI
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander Tropical Cramer determinants revisited. (English) Zbl 1320.14074 Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics and applications. Proceedings of the international workshop on tropical and idempotent mathematics, Independent University of Moscow, Russia, August 26–31, 2012. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-9496-5/pbk; 978-1-4704-1684-3/ebook). Contemporary Mathematics 616, 1-45 (2014). MSC: 14T05 15A80 PDFBibTeX XMLCite \textit{M. Akian} et al., Contemp. Math. 616, 1--45 (2014; Zbl 1320.14074) Full Text: DOI arXiv
Guterman, A. E.; Markova, O. V.; Sochnev, S. D. The algebra of semimagic matrices and its length. (English. Russian original) Zbl 1309.15026 J. Math. Sci., New York 199, No. 4, 400-413 (2014); translation from Zap. Nauchn. Semin. POMI 419, 52-76 (2013). MSC: 15A30 PDFBibTeX XMLCite \textit{A. E. Guterman} et al., J. Math. Sci., New York 199, No. 4, 400--413 (2014; Zbl 1309.15026); translation from Zap. Nauchn. Semin. POMI 419, 52--76 (2013) Full Text: DOI
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona Commuting graphs and extremal centralizers. (English) Zbl 1306.05127 Ars Math. Contemp. 7, No. 2, 453-459 (2014). MSC: 05C40 15A27 15A04 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Ars Math. Contemp. 7, No. 2, 453--459 (2014; Zbl 1306.05127) Full Text: DOI
Efimov, Mikhail A.; Guterman, Alexander E. Monotone maps on diagonalizable matrices. (English) Zbl 1310.15047 Math. Inequal. Appl. 17, No. 4, 1441-1452 (2014). Reviewer: Janko Marovt (Maribor) MSC: 15A86 15A04 15A09 06A06 15B48 PDFBibTeX XMLCite \textit{M. A. Efimov} and \textit{A. E. Guterman}, Math. Inequal. Appl. 17, No. 4, 1441--1452 (2014; Zbl 1310.15047) Full Text: DOI
Guterman, A. On the Pólya conversion problem for permanents and determinants. (English. Russian original) Zbl 1301.15008 J. Math. Sci., New York 197, No. 6, 782-786 (2014); translation from Sovrem. Mat. Prilozh. 84 (2012). MSC: 15A15 15B33 15B34 PDFBibTeX XMLCite \textit{A. Guterman}, J. Math. Sci., New York 197, No. 6, 782--786 (2014; Zbl 1301.15008); translation from Sovrem. Mat. Prilozh. 84 (2012) Full Text: DOI
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona Commutativity preservers via maximal centralizers. (English) Zbl 1340.15027 Publ. Math. Debr. 84, No. 3-4, 439-450 (2014). Reviewer: Lajos Molnár (Debrecen) MSC: 15A86 15A27 15A04 15A30 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Publ. Math. Debr. 84, No. 3--4, 439--450 (2014; Zbl 1340.15027) Full Text: DOI
Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E. Immanant conversion on symmetric matrices. (English) Zbl 1294.15008 Spec. Matrices 2, No. 1, 1-10 (2014). MSC: 15A15 15A86 15B57 15A04 PDFBibTeX XMLCite \textit{M. Purificação Coelho} et al., Spec. Matrices 2, 1--10 (2014; Zbl 1294.15008) Full Text: DOI
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko Monotone transformations on \(B(H)\) with respect to the left-star and the right-star partial order. (English) Zbl 1320.47038 Math. Inequal. Appl. 17, No. 2, 573-589 (2014). Reviewer: K. C. Sivakumar (Chennai) MSC: 47B49 47B60 06A06 15A03 15A04 15A86 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Math. Inequal. Appl. 17, No. 2, 573--589 (2014; Zbl 1320.47038) Full Text: DOI
Dolinar, G.; Guterman, A.; Kuzma, B.; Orel, M. Permanent versus determinant over a finite field. (English. Russian original) Zbl 1284.15004 J. Math. Sci., New York 193, No. 3, 404-413 (2013); translation from Sovrem. Mat. Prilozh. 80 (2012). Reviewer: Mihail Voicu (Iaşi) MSC: 15A15 15B33 15B57 PDFBibTeX XMLCite \textit{G. Dolinar} et al., J. Math. Sci., New York 193, No. 3, 404--413 (2013; Zbl 1284.15004); translation from Sovrem. Mat. Prilozh. 80 (2012) Full Text: DOI Link
Guterman, Alexander; Lemos, Rute; Soares, Graça Extremal case in Marcus-Oliveira conjecture and beyond. (English) Zbl 1292.15006 Linear Multilinear Algebra 61, No. 9, 1206-1222 (2013). MSC: 15A15 15A60 15A86 PDFBibTeX XMLCite \textit{A. Guterman} et al., Linear Multilinear Algebra 61, No. 9, 1206--1222 (2013; Zbl 1292.15006) Full Text: DOI
Guterman, A. E.; Efimov, M. A. Monotone maps on matrices of index one. (English. Russian original) Zbl 1278.15006 J. Math. Sci., New York 191, No. 1, 36-51 (2013); translation from Zap. Nauchn. Semin. POMI 405, 67-96 (2012). Reviewer: Chen Sheng (Harbin) MSC: 15A09 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{M. A. Efimov}, J. Math. Sci., New York 191, No. 1, 36--51 (2013; Zbl 1278.15006); translation from Zap. Nauchn. Semin. POMI 405, 67--96 (2012) Full Text: DOI
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko Automorphisms of \(K(H)\) with respect to the star partial order. (English) Zbl 1295.47038 Oper. Matrices 7, No. 1, 225-239 (2013). Reviewer: Ajda Fošner (Koper) MSC: 47B48 06A06 15A03 15A04 15A86 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Oper. Matrices 7, No. 1, 225--239 (2013; Zbl 1295.47038) Full Text: DOI Link
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona Extremal matrix centralizers. (English) Zbl 1269.15016 Linear Algebra Appl. 438, No. 7, 2904-2910 (2013). Reviewer: Rabe von Randow (Bonn) MSC: 15A27 15A30 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Linear Algebra Appl. 438, No. 7, 2904--2910 (2013; Zbl 1269.15016) Full Text: DOI
Budrevich, Mikhail; Guterman, Alexander E. On the Gibson bounds over finite fields. (English) Zbl 1374.15014 Serdica Math. J. 38, No. 1-3, 395-416 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 15A15 15A04 15B33 65F40 65Y20 15B34 PDFBibTeX XMLCite \textit{M. Budrevich} and \textit{A. E. Guterman}, Serdica Math. J. 38, No. 1--3, 395--416 (2012; Zbl 1374.15014) Full Text: Link
Budrevich, Mikhail V.; Guterman, Alexander E. Permanent has less zeros than determinant over finite fields. (English) Zbl 1280.15003 Lavrauw, Michel (ed.) et al., Theory and applications of finite fields. The 10th international conference on finite fields and their applications, Ghent, Belgium, July 11–15, 2011. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-5298-9/pbk; 978-0-8218-9157-5/ebook). Contemporary Mathematics 579, 33-42 (2012). MSC: 15A15 15B33 PDFBibTeX XMLCite \textit{M. V. Budrevich} and \textit{A. E. Guterman}, Contemp. Math. 579, 33--42 (2012; Zbl 1280.15003) Full Text: DOI
Guterman, A.; Dolinar, G.; Kuz’ma, B. Pólya convertibility problem for symmetric matrices. (English. Russian original) Zbl 1268.15004 Math. Notes 92, No. 5, 624-635 (2012); translation from Mat. Zametki 92, No. 5, 684-698 (2012). Reviewer: Dmitri Artamonov (Moscow) MSC: 15A15 15B57 PDFBibTeX XMLCite \textit{A. Guterman} et al., Math. Notes 92, No. 5, 624--635 (2012; Zbl 1268.15004); translation from Mat. Zametki 92, No. 5, 684--698 (2012) Full Text: DOI
Dolinar, G.; Guterman, A. E.; Kuzma, B. On the Gibson barrier for the Pólya problem. (English. Russian original) Zbl 1259.15009 J. Math. Sci., New York 185, No. 2, 224-232 (2012); translation from Fundam. Prikl. Mat. 16, No. 8, 73-86 (2010). MSC: 15A15 15B36 PDFBibTeX XMLCite \textit{G. Dolinar} et al., J. Math. Sci., New York 185, No. 2, 224--232 (2012; Zbl 1259.15009); translation from Fundam. Prikl. Mat. 16, No. 8, 73--86 (2010) Full Text: DOI
Guterman, A. E.; Shitov, Ya. N. Tropical patterns of matrices and the Gondran-Minoux rank function. (English) Zbl 1266.15038 Linear Algebra Appl. 437, No. 7, 1793-1811 (2012). Reviewer: Jürgen Müller (Aachen) MSC: 15A80 15A03 15A15 15A45 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{Ya. N. Shitov}, Linear Algebra Appl. 437, No. 7, 1793--1811 (2012; Zbl 1266.15038) Full Text: DOI
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander Tropical polyhedra are equivalent to mean payoff games. (English) Zbl 1239.14054 Int. J. Algebra Comput. 22, No. 1, 1250001, 43 p. (2012). MSC: 14T05 91A50 15A80 PDFBibTeX XMLCite \textit{M. Akian} et al., Int. J. Algebra Comput. 22, No. 1, 1250001, 43 p. (2012; Zbl 1239.14054) Full Text: DOI arXiv
Butkovič, Peter (ed.); Guterman, Alexander (ed.); Loiseau, Jean Jacques (ed.); McEneaney, William M. (ed.); Wagneur, Edouard (ed.) Special issue dedicated to the 1st Montreal workshop, Montreal, Canada, July 2009. (English) Zbl 1245.15002 Linear Algebra Appl. 435, No. 7, 1491-1811 (2011). MSC: 15-06 15A99 05C90 00B25 PDFBibTeX XML
Dolinar, Gregor; Guterman, Alexander E.; Kuzma, Bojan; Orel, Marko On the Pólya permanent problem over finite fields. (English) Zbl 1209.15011 Eur. J. Comb. 32, No. 1, 116-132 (2011). Reviewer: Ian M. Wanless (Victoria) MSC: 15A15 15B33 PDFBibTeX XMLCite \textit{G. Dolinar} et al., Eur. J. Comb. 32, No. 1, 116--132 (2011; Zbl 1209.15011) Full Text: DOI arXiv
Guterman, Alexander; Soares, Graça Additive Frobenius endomorphisms for Sylvester and related bounds. (English) Zbl 1216.15002 Chajda, I. (ed.) et al., Proceedings of the 79th workshop on general algebra “79. Arbeitstagung Allgemeine Algebra”, 25th conference of young algebraists, Palacký University Olomouc, Olomouc, Czech Republic, February 12–14, 2010. Klagenfurt: Verlag Johannes Heyn (ISBN 978-3-7084-0407-3/pbk). Contributions to General Algebra 19, 91-102 (2010). MSC: 15A04 15A86 15A45 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{G. Soares}, Contrib. Gen. Algebra 19, 91--102 (2010; Zbl 1216.15002)
Beasley, LeRoy B.; Guterman, Alexander E. Operators preserving primitivity for matrix pairs. (English) Zbl 1215.15030 Olshevsky, Vadim (ed.) et al., Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23–27, 2007. Hackensack, NJ: World Scientific (ISBN 978-981-283-601-4/hbk). 2-19 (2010). MSC: 15A86 15B33 15B48 16Y60 PDFBibTeX XMLCite \textit{L. B. Beasley} and \textit{A. E. Guterman}, in: Matrix methods. Theory, algorithms and applications. Dedicated to the memory of Gene Golub. Based on the 2nd international conference on matrix methods and operator equations, Moscow, Russia, July 23--27, 2007. Hackensack, NJ: World Scientific. 2--19 (2010; Zbl 1215.15030)
Guterman, Alexander E. Matrix invariants over semirings. (English) Zbl 1214.15012 Hazewinkel, M. (ed.), Handbook of algebra. Volume 6. Amsterdam: Elsevier/North-Holland (ISBN 978-0-444-53257-2/hbk). Handbook of Algebra 6, 3-33 (2009). Reviewer: Florin Nicolae (Berlin) MSC: 15B33 15-02 15A45 15A03 16Y60 15A15 PDFBibTeX XMLCite \textit{A. E. Guterman}, Handb. Algebra 6, 3--33 (2009; Zbl 1214.15012) Full Text: DOI
Guterman, A.; Kuzma, B. Maps preserving zeros of matrix polynomials. (English. Russian original) Zbl 1185.15020 Dokl. Math. 80, No. 1, 508-510 (2009); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 3, 300-302 (2009). MSC: 15A54 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{B. Kuzma}, Dokl. Math. 80, No. 1, 508--510 (2009; Zbl 1185.15020); translation from Dokl. Akad. Nauk, Ross. Akad. Nauk 427, No. 3, 300--302 (2009) Full Text: DOI
Guterman, A. E.; Kuzma, B. Preserving zeros of a polynomial. (English) Zbl 1183.15026 Commun. Algebra 37, No. 11, 4038-4064 (2009). Reviewer: Ludwig Kohaupt (Berlin) MSC: 15A86 12E05 15A30 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{B. Kuzma}, Commun. Algebra 37, No. 11, 4038--4064 (2009; Zbl 1183.15026) Full Text: DOI arXiv
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander Linear independence over tropical semirings and beyond. (English) Zbl 1182.15002 Litvinov, G. L. (ed.) et al., Tropical and idempotent mathematics. International workshop TROPICAL-07, Moscow, Russia, August 25–30, 2007. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-4782-4/pbk). Contemporary Mathematics 495, 1-38 (2009). MSC: 15A03 15A15 16Y60 52A37 PDFBibTeX XMLCite \textit{M. Akian} et al., Contemp. Math. 495, 1--38 (2009; Zbl 1182.15002) Full Text: arXiv
Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E. Preserving regular tournaments and term rank-1. (English) Zbl 1168.05311 Linear Algebra Appl. 431, No. 5-7, 926-936 (2009). MSC: 05C20 15A45 15B33 15A03 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., Linear Algebra Appl. 431, No. 5--7, 926--936 (2009; Zbl 1168.05311) Full Text: DOI
Guterman, A. E.; Markova, O. V. Commutative matrix subalgebras and length function. (English) Zbl 1160.13016 Linear Algebra Appl. 430, No. 7, 1790-1805 (2009). Reviewer: Yueh-er Kuo (Knoxville) MSC: 13E10 15A27 15A18 PDFBibTeX XMLCite \textit{A. E. Guterman} and \textit{O. V. Markova}, Linear Algebra Appl. 430, No. 7, 1790--1805 (2009; Zbl 1160.13016) Full Text: DOI
Beasley, LeRoy B.; Guterman, Alexander E. The characterization of operators preserving primitivity for matrix \(k\)-tuples. (English) Zbl 1168.15010 Linear Algebra Appl. 430, No. 7, 1762-1777 (2009). Reviewer: Hans Havlicek (Wien) MSC: 15B33 15A45 15A03 16Y60 PDFBibTeX XMLCite \textit{L. B. Beasley} and \textit{A. E. Guterman}, Linear Algebra Appl. 430, No. 7, 1762--1777 (2009; Zbl 1168.15010) Full Text: DOI
Guterman, A. È; Kuzma, B. On transformations strongly preserving the zeros of matrix polynomials. (English. Russian original) Zbl 1176.15036 Russ. Math. Surv. 63, No. 5, 965-967 (2008); translation from Usp. Mat. Nauk 63, No. 5, 185-186 (2008). MSC: 15A86 PDFBibTeX XMLCite \textit{A. È Guterman} and \textit{B. Kuzma}, Russ. Math. Surv. 63, No. 5, 965--967 (2008; Zbl 1176.15036); translation from Usp. Mat. Nauk 63, No. 5, 185--186 (2008) Full Text: DOI
Beasley, L. B.; Guterman, A. E.; Kang, K.-T.; Song, S.-Z. Idempotent Boolean matrices and majorization. (English. Russian original) Zbl 1146.15006 J. Math. Sci., New York 152, No. 4, 456-468 (2008); translation from Fundam. Prikl. Mat. 13, No. 1, 11-29 (2007). MSC: 15B33 15A60 16S50 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., J. Math. Sci., New York 152, No. 4, 456--468 (2008; Zbl 1146.15006); translation from Fundam. Prikl. Mat. 13, No. 1, 11--29 (2007) Full Text: DOI
Guterman, Alexander; Shapiro, Boris On linear operators preserving the set of positive polynomials. (English) Zbl 1160.12002 J. Fixed Point Theory Appl. 3, No. 2, 411-429 (2008). Reviewer: Alexander Kovačec (Coimbra) MSC: 12D99 12D10 44A60 15A04 PDFBibTeX XMLCite \textit{A. Guterman} and \textit{B. Shapiro}, J. Fixed Point Theory Appl. 3, No. 2, 411--429 (2008; Zbl 1160.12002) Full Text: DOI Link
Guterman, Alexander E. Rank and determinant functions for matrices over semirings. (English) Zbl 1181.16042 Young, Nicholas (ed.) et al., Surveys in contemporary mathematics. Cambridge: Cambridge University Press (ISBN 978-0-521-70564-6/pbk). London Mathematical Society Lecture Note Series 347, 1-33 (2008). Reviewer: Mirela Ştefănescu (Constanţa) MSC: 16Y60 15A15 15A03 15A45 PDFBibTeX XMLCite \textit{A. E. Guterman}, Lond. Math. Soc. Lect. Note Ser. 347, 1--33 (2008; Zbl 1181.16042)
Borcea, Julius; Guterman, Alexander; Shapiro, Boris Preserving positive polynomials and beyond. arXiv:0801.1749 Preprint, arXiv:0801.1749 [math.CA] (2008). MSC: 12D15 15A04 12D10 BibTeX Cite \textit{J. Borcea} et al., ``Preserving positive polynomials and beyond'', Preprint, arXiv:0801.1749 [math.CA] (2008) Full Text: arXiv
Bogdanov, I. I.; Guterman, A. É. Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. (English. Russian original) Zbl 1142.15004 Sb. Math. 198, No. 1, 1-16 (2007); translation from Mat. Sb. 198, No. 1, 3-20 (2007). MSC: 15A04 15A09 15A30 PDFBibTeX XMLCite \textit{I. I. Bogdanov} and \textit{A. É. Guterman}, Sb. Math. 198, No. 1, 1--16 (2007; Zbl 1142.15004); translation from Mat. Sb. 198, No. 1, 3--20 (2007) Full Text: DOI
Guterman, A. E. Monotone additive matrix transformations. (English. Russian original) Zbl 1139.15001 Math. Notes 81, No. 5, 609-619 (2007); translation from Mat. Zametki 81, No. 5, 681-692 (2007). Reviewer: Rodica Covaci (Cluj-Napoca) MSC: 15A04 06F20 15B48 15A30 PDFBibTeX XMLCite \textit{A. E. Guterman}, Math. Notes 81, No. 5, 609--619 (2007; Zbl 1139.15001); translation from Mat. Zametki 81, No. 5, 681--692 (2007) Full Text: DOI
Beasley, Leroy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun Frobenius and Dieudonné theorems over semirings. (English) Zbl 1110.15004 Linear Multilinear Algebra 55, No. 1, 19-34 (2007). Reviewer: Yueh-er Kuo (Knoxville) MSC: 15A04 15A15 15B33 16Y60 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., Linear Multilinear Algebra 55, No. 1, 19--34 (2007; Zbl 1110.15004) Full Text: DOI
Beasley, Leroy B.; Guterman, Alexander E.; Neal, Cora L. Linear preservers for Sylvester and Frobenius bounds on matrix rank. (English) Zbl 1134.15003 Rocky Mt. J. Math. 36, No. 1, 67-80 (2006). MSC: 15A04 15A03 15A45 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., Rocky Mt. J. Math. 36, No. 1, 67--80 (2006; Zbl 1134.15003) Full Text: DOI Euclid
Alieva, A. A.; Guterman, A. E.; Kuzma, B. Rank-permutable additive mappings. (English) Zbl 1091.15002 Linear Algebra Appl. 414, No. 2-3, 607-616 (2006). Reviewer: Václav Burjan (Praha) MSC: 15A04 15A03 PDFBibTeX XMLCite \textit{A. A. Alieva} et al., Linear Algebra Appl. 414, No. 2--3, 607--616 (2006; Zbl 1091.15002) Full Text: DOI
Beasley, Leroy B.; Guterman, Alexander E.; Jun, Young-Bae; Song, Seok-Zun Linear preservers of extremes of rank inequalities over semirings: Row and column ranks. (English) Zbl 1089.15002 Linear Algebra Appl. 413, No. 2-3, 495-509 (2006). Reviewer: Bojan Kuzma (Ljubljana) MSC: 15A04 15A45 15B33 15A03 16S50 16Y60 PDFBibTeX XMLCite \textit{L. B. Beasley} et al., Linear Algebra Appl. 413, No. 2--3, 495--509 (2006; Zbl 1089.15002) Full Text: DOI