Edit Profile (opens in new tab) Guterman, Alexander Èmilevich Compute Distance To: Compute Author ID: guterman.alexander-e Published as: Guterman, A. E.; Guterman, Alexander; Guterman, Alexander E.; Guterman, A.; Guterman, A. È.; Guterman, A. Eh.; Guterman, A. É.; Guterman, A. È more...less Further Spellings: Guterman, Aleksandr Èmilevich; Гутерман Александр Эмилевич External Links: MGP · Wikidata · Google Scholar · ResearchGate · Math-Net.Ru Documents Indexed: 135 Publications since 1999 1 Contribution as Editor Reviewing Activity: 84 Reviews Co-Authors: 130 Co-Authors with 121 Joint Publications 2,971 Co-Co-Authors all top 5 Co-Authors 15 single-authored 18 Kuzma, Bojan 16 Markova, Olga V. 13 Beasley, LeRoy B. 13 Dolinar, Gregor 9 Budrevich, Mikhail V. 7 Maksaev, Artem M. 6 Duffner, Maria Antónia 5 Alieva, Anna A. 5 Kreĭnes, Elena M. 5 Kudryavtsev, Dmitry K. 5 Mikhalëv, Aleksandr Vasil’evich 5 Pereira Soares, Maria da Graca 5 Shteyner, Pavel 5 Song, Seok-Zun 4 Efimov, Mikhail A. 3 Akian, Marianne 3 Arambašić, Ljiljana 3 Artamonov, Vyacheslav Aleksandrovich 3 Gaubert, Stéphane 3 Lee, Sang-Gu 3 Lemos, Rute 3 Oblak, Polona 3 Prokhorov, Yuriĭ Gennad’evich 3 Rajić, Rajna 3 Shitov, Yaroslav Nikolaevich 3 Spiridonov, I. A. 3 Taranin, K. A. 3 Zaĭtsev, Mikhail Vladimirovich 3 Zhilina, S. A. 3 Zhilina, Svetlana 2 Balaba, Irina Nikolaevna 2 Bokut, Leonid A. 2 Borisenko, Vladimir V. 2 Bunina, Elena Igor’evna 2 Chubarov, Igor A. 2 Dahl, Geir 2 Danielyan, S. V. 2 Johnson, Marianne 2 Kambites, Mark 2 Kanel’-Belov, Alekseĭ Yakovlevich 2 Kanunnikov, Andrei L. 2 Klyachko, Anton Aleksandrovich 2 Kulikova, O. V. 2 Lyubimov, V. K. 2 Marovt, Janko 2 Mary, Xavier 2 Mehrmann, Volker 2 Ol’shanskiĭ, Aleksandr Yur’evich 2 Orel, Marko 2 Ostroukhova, N. V. 2 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 2 Shafarevich, Andreĭ Igorevich 2 Shestakov, Ivan Pavlovich 2 Shirshova, Elena Evgen’evna 2 Timashev, Dmitri A. 2 Usachev, S. A. 1 Adrianov, Nikolai M. 1 Andreev, K. K. 1 Arzhantseva, Goulnara N. 1 Atabekyan, Varuzhan S. 1 Bahturin, Yuri 1 Bakhadly, B. R. 1 Bakhadly, Bakhad 1 Bezverkhniĭ, N. V. 1 Bogdanov, Ilya I. 1 Brown, David E. 1 Bukhshtaber, Viktor Matveevich 1 Butkovič, Peter 1 Chubarikov, Vladimir Nikolaevich 1 de la Puente, Maria Jesus 1 Deryabina, G. S. 1 Dobrovol’skiĭ, Nikolaĭ Mikhaĭlovich 1 Dubrovin, Nikolaĭ Ivanovich 1 Ershov, Yuriĭ Leonidovich 1 Evseev, I. M. 1 Gaifullin, Sergey A. 1 Golubchik, Igor Z. 1 González, Santos 1 Grishin, Aleksandr V. 1 Guba, Victor S. 1 Herrero, Alicia 1 Ilyina, N. K. 1 Jun, Young Bae 1 Kang, Koo Tae 1 Kemer, Aleksandr Robertovich 1 Kharchenko, Vladislav K. 1 Khrystik, Mikhail 1 Kislitsyn, E. S. 1 Kozhukhov, Igor’ Borisovich 1 Krejnes, E. M. 1 Laffey, Thomas J. 1 Li, Chi-Kwong 1 Loiseau, Jean Jacques 1 Lukashenko, Taras P. 1 Márki, László 1 Martínez López, Consuelo 1 McEneaney, William “Mac” M. 1 Mikaelyan, V. H. 1 Mikhaĭlovskiĭ, K. V. 1 Mikhalëv, Aleksandr Aleksandrovich ...and 30 more Co-Authors all top 5 Serials 28 Journal of Mathematical Sciences (New York) 27 Linear Algebra and its Applications 6 Communications in Algebra 6 Linear and Multilinear Algebra 5 Fundamental’naya i Prikladnaya Matematika 4 Russian Mathematical Surveys 4 Special Matrices 3 Mathematical Notes 3 Journal of Algebra 2 Journal of Mathematical Analysis and Applications 2 Applied Mathematics and Computation 2 International Journal of Algebra and Computation 2 Sbornik: Mathematics 2 Mathematical Inequalities & Applications 2 Journal of Algebra and its Applications 2 Chebyshevskiĭ Sbornik 2 Operators and Matrices 2 Ars Mathematica Contemporanea 1 Rocky Mountain Journal of Mathematics 1 Acta Scientiarum Mathematicarum 1 Journal of Combinatorial Theory. Series A 1 Journal of the Korean Mathematical Society 1 Publicationes Mathematicae 1 Semigroup Forum 1 Siberian Mathematical Journal 1 European Journal of Combinatorics 1 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 1 Vestnik St. Petersburg University. Mathematics 1 Serdica Mathematical Journal 1 Doklady Mathematics 1 Fundamenta Informaticae 1 Lobachevskii Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis all top 5 Fields 107 Linear and multilinear algebra; matrix theory (15-XX) 33 Associative rings and algebras (16-XX) 23 Combinatorics (05-XX) 13 Order, lattices, ordered algebraic structures (06-XX) 8 Nonassociative rings and algebras (17-XX) 6 Group theory and generalizations (20-XX) 6 Operator theory (47-XX) 4 Field theory and polynomials (12-XX) 4 Commutative algebra (13-XX) 3 Algebraic geometry (14-XX) 3 Functional analysis (46-XX) 2 History and biography (01-XX) 2 Convex and discrete geometry (52-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 106 Publications have been cited 602 times in 400 Documents Cited by ▼ Year ▼ Some general techniques on linear preserver problems. Zbl 0964.15004Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter 68 2000 Linear independence over tropical semirings and beyond. Zbl 1182.15002Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 66 2009 Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 61 2012 Commutative matrix subalgebras and length function. Zbl 1160.13016Guterman, A. E.; Markova, O. V. 23 2009 Linear preservers for matrix inequalities and partial orderings. Zbl 0985.15018Guterman, Alexander 22 2001 Rank inequalities over semirings. Zbl 1070.15014Beasley, LeRoy B.; Guterman, Alexander E. 18 2005 A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena 16 2018 Tropical Cramer determinants revisited. Zbl 1320.14074Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 14 2014 Monotone transformations on \(B(H)\) with respect to the left-star and the right-star partial order. Zbl 1320.47038Dolinar, Gregor; Guterman, Alexander; Marovt, Janko 12 2014 Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023Guterman, A. E.; Markova, O. V.; Mehrmann, V. 11 2019 Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001Beasley, L. B.; Guterman, A. E. 10 2005 On the Pólya permanent problem over finite fields. Zbl 1209.15011Dolinar, Gregor; Guterman, Alexander E.; Kuzma, Bojan; Orel, Marko 10 2011 Extremal matrix centralizers. Zbl 1269.15016Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 10 2013 Linear preservers for Drazin star partial order. Zbl 0995.15010Guterman, Alexander 8 2001 Majorization for matrix classes. Zbl 1401.15039Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 8 2018 Graphs defined by orthogonality. Zbl 1343.16020Bakhadly, B. R.; Guterman, A. E.; Markova, O. V. 8 2015 Commuting graphs and extremal centralizers. Zbl 1306.05127Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 7 2014 On the growth of identities. Zbl 0964.16025Regev, Amitai; Guterman, Alexander 7 2000 The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010Beasley, LeRoy B.; Guterman, Alexander E. 7 2009 Monotone linear transformations on matrices are invertible. Zbl 1082.15002Alieva, Anna A.; Guterman, Alexander E. 7 2005 Preserving zeros of a polynomial. Zbl 1183.15026Guterman, A. E.; Kuzma, B. 7 2009 The lengths of the quaternion and octonion algebras. Zbl 1380.16017Guterman, Alexander E.; Kudryavtsev, D. K. 6 2017 Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038Dolinar, Gregor; Guterman, Alexander; Marovt, Janko 6 2013 Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050Guterman, A. E.; Markova, O. V.; Mehrmann, V. 6 2016 The lengths of group algebras of small-order groups. Zbl 1428.16026Guterman, A. E.; Markova, O. V. 6 2019 New matrix partial order based on spectrally orthogonal matrix decomposition. Zbl 1375.15014Guterman, Alexander; Herrero, Alicia; Thome, Néstor 5 2016 Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. Zbl 1142.15004Bogdanov, I. I.; Guterman, A. É. 5 2007 Immanant conversion on symmetric matrices. Zbl 1294.15008Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E. 5 2014 Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 1466.46043Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana 5 2020 Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040Guterman, Alexander; Johnson, Marianne; Kambites, Mark 5 2018 Upper bounds for the length of non-associative algebras. Zbl 1462.17003Guterman, A. E.; Kudryavtsev, D. K. 5 2020 Relationship graphs of real Cayley-Dickson algebras. Zbl 1471.17009Guterman, A. E.; Zhilina, S. A. 5 2019 Preserving regular tournaments and term rank-1. Zbl 1168.05311Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E. 4 2009 Converting immanants on singular symmetric matrices. Zbl 1376.15003Duffner, M. A.; Guterman, A. E. 4 2017 Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038Guterman, A. E.; Shitov, Ya. N. 4 2012 Kräuter conjecture on permanents is true. Zbl 1443.15005Budrevich, M. V.; Guterman, A. E. 4 2019 Majorization for \((0,1)\)-matrices. Zbl 1427.15017Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 4 2020 On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019Guterman, A. E.; Taranin, K. A. 4 2018 Permanent has less zeros than determinant over finite fields. Zbl 1280.15003Budrevich, Mikhail V.; Guterman, Alexander E. 4 2012 Linear preservers for Sylvester and Frobenius bounds on matrix rank. Zbl 1134.15003Beasley, Leroy B.; Guterman, Alexander E.; Neal, Cora L. 3 2006 The arctic rank of a Boolean matrix. Zbl 1312.15043Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav 3 2015 Linear preservers of extremes of rank inequalities over semirings: Row and column ranks. Zbl 1089.15002Beasley, Leroy B.; Guterman, Alexander E.; Jun, Young-Bae; Song, Seok-Zun 3 2006 On linear operators preserving the set of positive polynomials. Zbl 1160.12002Guterman, Alexander; Shapiro, Boris 3 2008 Idempotent Boolean matrices and majorization. Zbl 1146.15006Beasley, L. B.; Guterman, A. E.; Kang, K.-T.; Song, S.-Z. 3 2008 Frobenius and Dieudonné theorems over semirings. Zbl 1110.15004Beasley, Leroy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 3 2007 Linear preservers of rank permutability. Zbl 1061.15001Alieva, Anna A.; Guterman, Alexander E. 3 2004 Linear transformations preserving the Grassmannian over \(\mathcal M_n(\mathbb Z_+)\). Zbl 1067.15001Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 3 2004 Maps preserving scrambling index. Zbl 1392.15039Guterman, A. E.; Maksaev, A. M. 3 2018 Pólya convertibility problem for symmetric matrices. Zbl 1268.15004Guterman, A.; Dolinar, G.; Kuz’ma, B. 3 2012 Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga 3 2019 Additive maps preserving the scrambling index are bijective. Zbl 1413.05038Guterman, A. E.; Maksaev, A. M. 3 2018 Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037Budrevich, M. V.; Guterman, A. E.; Duffner, M. A. 3 2019 Monotone additive matrix transformations. Zbl 1139.15001Guterman, A. E. 2 2007 Rank and determinant functions for matrices over semirings. Zbl 1181.16042Guterman, Alexander E. 2 2008 The algebra of semimagic matrices and its length. Zbl 1309.15026Guterman, A. E.; Markova, O. V.; Sochnev, S. D. 2 2014 Rank-permutable additive mappings. Zbl 1091.15002Alieva, A. A.; Guterman, A. E.; Kuzma, B. 2 2006 Linear preservers of zeros of matrix polynomials. Zbl 1076.15003Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 2 2005 Operators preserving primitivity for matrix pairs. Zbl 1215.15030Beasley, LeRoy B.; Guterman, Alexander E. 2 2010 Commutativity preservers via maximal centralizers. Zbl 1340.15027Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 2 2014 On independence numbers of distance graphs with vertices in \(\{-1,0,1\}^n\): estimates, conjectures, and applications to the Nelson-Erdős-hadwiger problem and the borsuk problem. Zbl 1288.05136Guterman, A. È.; Lyubimov, V. K.; Raĭgorodskiĭ, A. M.; Usachev, S. A. 2 2010 On the Gibson barrier for the Pólya problem. Zbl 1259.15009Dolinar, G.; Guterman, A. E.; Kuzma, B. 2 2012 On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009Budrevich, M. V.; Guterman, A. E.; Taranin, K. A. 2 2018 Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070Guterman, Alexander E.; Maksaev, Artem M. 2 2018 Maps preserving zeros of matrix polynomials. Zbl 1185.15020Guterman, A.; Kuzma, B. 2 2009 On the independence number of distance graphs with vertices in \(\{-1,0,1\}^n\). Zbl 1210.05095Guterman, A. É.; Lyubimov, V. K.; Raigorodskii, A. M.; Usachev, S. A. 2 2009 Absence of linear permanent-determinant converters on skew-symmetric matrices. Zbl 1463.15003Budrevich, Mikhail V.; Duffner, M. Antónia; Guterman, Alexander E. 2 2018 Characteristic sequences of non-associative algebras. Zbl 1465.17003Guterman, Alexander E.; Kudryavtsev, Dmitry K. 2 2020 Rank functions of tropical matrices. Zbl 1334.15004Guterman, Alexander; Shitov, Yaroslav 2 2016 Maps preserving matrices of extremal scrambling index. Zbl 1391.15091Guterman, A. E.; Maksaev, A. M. 2 2018 Extremal generalized centralizers in matrix algebras. Zbl 1393.15023Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga 2 2018 Extremal case in Marcus-Oliveira conjecture and beyond. Zbl 1292.15006Guterman, Alexander; Lemos, Rute; Soares, Graça 2 2013 Linear operators preserving majorization of matrix tuples. Zbl 1469.15031Guterman, A. E.; Shteyner, P. M. 2 2020 Linear converters of weak, directional and strong majorizations. Zbl 1481.15020Guterman, Alexander; Shteyner, Pavel 2 2021 Relation graphs of the sedenion algebra. Zbl 07351590Guterman, A. E.; Zhilina, S. A. 2 2021 Monotone matrix maps preserve nonmaximal rank. Zbl 1057.15026Guterman, A. 1 2003 Matrix invariants over semirings. Zbl 1214.15012Guterman, Alexander E. 1 2009 Frobenius type theorems in the noncommutative case. Zbl 0984.15006Guterman, Alexander 1 2001 Singularity preservers over local domains. Zbl 0991.15002Guterman, A. 1 2000 A note on linear preservers of a certain matrix partial order. Zbl 0959.15027Guterman, Alexander 1 2000 On transformations strongly preserving the zeros of matrix polynomials. Zbl 1176.15036Guterman, A. È; Kuzma, B. 1 2008 Linear maps preserving the Dieudonné determinant over an arbitrary skew field. Zbl 1113.15300Guterman, A. È. 1 2002 On the Gibson bounds over finite fields. Zbl 1374.15014Budrevich, Mikhail; Guterman, Alexander E. 1 2012 Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005Beasley, L. B.; Guterman, A. E.; Yi, S.-C. 1 2004 Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003Alieva, A. A.; Guterman, A. E. 1 2004 General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004Guterman, A. E.; Mikhalev, A. V. 1 2005 An integral of a polynomial with multiple roots. Zbl 1450.30011Guterman, A. E.; Danielyan, S. V. 1 2020 Double occurrence words: their graphs and matrices. Zbl 1448.05026Guterman, A. E.; Kreines, E. M.; Ostroukhova, N. V. 1 2020 The length of a direct sum of nonassociative algebras. Zbl 1480.17001Guterman, A. E.; Kudryavtsev, D. K.; Markova, O. V. 1 2020 Permanent Polya problem for additive surjective maps. Zbl 1481.15004Guterman, A. E.; Spiridonov, I. A. 1 2020 Partial orders based on inverses along elements. Zbl 1420.06002Guterman, A.; Mary, X.; Shteyner, P. 1 2018 Orthogonality graphs of matrices over skew fields. Zbl 1419.05125Guterman, A. E.; Markova, O. V. 1 2018 On the determinantal range of matrix products. Zbl 1395.15005Guterman, A.; Soares, G. 1 2018 Monotone maps on matrices of index one. Zbl 1278.15006Guterman, A. E.; Efimov, M. A. 1 2013 On Hartwig-Nambooripad orders. Zbl 1453.06014Guterman, Alexander; Mary, Xavier; Shteyner, Pavel 1 2019 Graph characterization of fully indecomposable nonconvertible \((0, 1)\)-matrices with minimal number of ones. Zbl 1433.05174Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan 1 2019 On the \(C\)-determinantal range for special classes of matrices. Zbl 1410.15045Guterman, Alexander; Lemos, Rute; Soares, Graça 1 2016 On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A. 1 2016 The realizability problem for the values of the length function of quasi-commuting matrix pairs. Zbl 1353.15015Guterman, Alexander E.; Markova, O. V. 1 2016 Maps on operators strongly preserving sharp order. Zbl 1345.15007Efimov, M. A.; Guterman, A. E. 1 2015 Permanent versus determinant over a finite field. Zbl 1284.15004Dolinar, G.; Guterman, A.; Kuzma, B.; Orel, M. 1 2013 On the lengths of group algebras of finite abelian groups in the modular case. Zbl 07535800Guterman, Alexander; Khrystik, Mikhail; Markova, Olga 1 2022 Linear converters of weak, directional and strong majorizations. Zbl 1481.15020Guterman, Alexander; Shteyner, Pavel 2 2021 Relation graphs of the sedenion algebra. Zbl 07351590Guterman, A. E.; Zhilina, S. A. 2 2021 Length function and characteristic sequences of quadratic algebras. Zbl 1476.17002Guterman, A. E.; Kudryavtsev, D. K. 1 2021 Converting immanants on skew-symmetric matrices. Zbl 1467.15001Duffner, M. A.; Guterman, A. E.; Spiridonov, I. A. 1 2021 Operators preserving mutual strong Birkhoff-James orthogonality on \(\mathcal{B}(H)\). Zbl 07355211Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana 1 2021 Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces. Zbl 07358697Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana 1 2021 Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 1466.46043Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana 5 2020 Upper bounds for the length of non-associative algebras. Zbl 1462.17003Guterman, A. E.; Kudryavtsev, D. K. 5 2020 Majorization for \((0,1)\)-matrices. Zbl 1427.15017Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 4 2020 Characteristic sequences of non-associative algebras. Zbl 1465.17003Guterman, Alexander E.; Kudryavtsev, Dmitry K. 2 2020 Linear operators preserving majorization of matrix tuples. Zbl 1469.15031Guterman, A. E.; Shteyner, P. M. 2 2020 An integral of a polynomial with multiple roots. Zbl 1450.30011Guterman, A. E.; Danielyan, S. V. 1 2020 Double occurrence words: their graphs and matrices. Zbl 1448.05026Guterman, A. E.; Kreines, E. M.; Ostroukhova, N. V. 1 2020 The length of a direct sum of nonassociative algebras. Zbl 1480.17001Guterman, A. E.; Kudryavtsev, D. K.; Markova, O. V. 1 2020 Permanent Polya problem for additive surjective maps. Zbl 1481.15004Guterman, A. E.; Spiridonov, I. A. 1 2020 Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023Guterman, A. E.; Markova, O. V.; Mehrmann, V. 11 2019 The lengths of group algebras of small-order groups. Zbl 1428.16026Guterman, A. E.; Markova, O. V. 6 2019 Relationship graphs of real Cayley-Dickson algebras. Zbl 1471.17009Guterman, A. E.; Zhilina, S. A. 5 2019 Kräuter conjecture on permanents is true. Zbl 1443.15005Budrevich, M. V.; Guterman, A. E. 4 2019 Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga 3 2019 Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037Budrevich, M. V.; Guterman, A. E.; Duffner, M. A. 3 2019 On Hartwig-Nambooripad orders. Zbl 1453.06014Guterman, Alexander; Mary, Xavier; Shteyner, Pavel 1 2019 Graph characterization of fully indecomposable nonconvertible \((0, 1)\)-matrices with minimal number of ones. Zbl 1433.05174Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan 1 2019 A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena 16 2018 Majorization for matrix classes. Zbl 1401.15039Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 8 2018 Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040Guterman, Alexander; Johnson, Marianne; Kambites, Mark 5 2018 On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019Guterman, A. E.; Taranin, K. A. 4 2018 Maps preserving scrambling index. Zbl 1392.15039Guterman, A. E.; Maksaev, A. M. 3 2018 Additive maps preserving the scrambling index are bijective. Zbl 1413.05038Guterman, A. E.; Maksaev, A. M. 3 2018 On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009Budrevich, M. V.; Guterman, A. E.; Taranin, K. A. 2 2018 Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070Guterman, Alexander E.; Maksaev, Artem M. 2 2018 Absence of linear permanent-determinant converters on skew-symmetric matrices. Zbl 1463.15003Budrevich, Mikhail V.; Duffner, M. Antónia; Guterman, Alexander E. 2 2018 Maps preserving matrices of extremal scrambling index. Zbl 1391.15091Guterman, A. E.; Maksaev, A. M. 2 2018 Extremal generalized centralizers in matrix algebras. Zbl 1393.15023Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga 2 2018 Partial orders based on inverses along elements. Zbl 1420.06002Guterman, A.; Mary, X.; Shteyner, P. 1 2018 Orthogonality graphs of matrices over skew fields. Zbl 1419.05125Guterman, A. E.; Markova, O. V. 1 2018 On the determinantal range of matrix products. Zbl 1395.15005Guterman, A.; Soares, G. 1 2018 The lengths of the quaternion and octonion algebras. Zbl 1380.16017Guterman, Alexander E.; Kudryavtsev, D. K. 6 2017 Converting immanants on singular symmetric matrices. Zbl 1376.15003Duffner, M. A.; Guterman, A. E. 4 2017 Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050Guterman, A. E.; Markova, O. V.; Mehrmann, V. 6 2016 New matrix partial order based on spectrally orthogonal matrix decomposition. Zbl 1375.15014Guterman, Alexander; Herrero, Alicia; Thome, Néstor 5 2016 Rank functions of tropical matrices. Zbl 1334.15004Guterman, Alexander; Shitov, Yaroslav 2 2016 On the \(C\)-determinantal range for special classes of matrices. Zbl 1410.15045Guterman, Alexander; Lemos, Rute; Soares, Graça 1 2016 On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A. 1 2016 The realizability problem for the values of the length function of quasi-commuting matrix pairs. Zbl 1353.15015Guterman, Alexander E.; Markova, O. V. 1 2016 Lower bounds for Pólya’s problem on permanent. Zbl 1347.05108Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan 1 2016 Graphs defined by orthogonality. Zbl 1343.16020Bakhadly, B. R.; Guterman, A. E.; Markova, O. V. 8 2015 The arctic rank of a Boolean matrix. Zbl 1312.15043Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav 3 2015 Maps on operators strongly preserving sharp order. Zbl 1345.15007Efimov, M. A.; Guterman, A. E. 1 2015 Tropical Cramer determinants revisited. Zbl 1320.14074Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 14 2014 Monotone transformations on \(B(H)\) with respect to the left-star and the right-star partial order. Zbl 1320.47038Dolinar, Gregor; Guterman, Alexander; Marovt, Janko 12 2014 Commuting graphs and extremal centralizers. Zbl 1306.05127Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 7 2014 Immanant conversion on symmetric matrices. Zbl 1294.15008Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E. 5 2014 The algebra of semimagic matrices and its length. Zbl 1309.15026Guterman, A. E.; Markova, O. V.; Sochnev, S. D. 2 2014 Commutativity preservers via maximal centralizers. Zbl 1340.15027Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 2 2014 Extremal matrix centralizers. Zbl 1269.15016Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 10 2013 Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038Dolinar, Gregor; Guterman, Alexander; Marovt, Janko 6 2013 Extremal case in Marcus-Oliveira conjecture and beyond. Zbl 1292.15006Guterman, Alexander; Lemos, Rute; Soares, Graça 2 2013 Monotone maps on matrices of index one. Zbl 1278.15006Guterman, A. E.; Efimov, M. A. 1 2013 Permanent versus determinant over a finite field. Zbl 1284.15004Dolinar, G.; Guterman, A.; Kuzma, B.; Orel, M. 1 2013 Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 61 2012 Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038Guterman, A. E.; Shitov, Ya. N. 4 2012 Permanent has less zeros than determinant over finite fields. Zbl 1280.15003Budrevich, Mikhail V.; Guterman, Alexander E. 4 2012 Pólya convertibility problem for symmetric matrices. Zbl 1268.15004Guterman, A.; Dolinar, G.; Kuz’ma, B. 3 2012 On the Gibson barrier for the Pólya problem. Zbl 1259.15009Dolinar, G.; Guterman, A. E.; Kuzma, B. 2 2012 On the Gibson bounds over finite fields. Zbl 1374.15014Budrevich, Mikhail; Guterman, Alexander E. 1 2012 On the Pólya permanent problem over finite fields. Zbl 1209.15011Dolinar, Gregor; Guterman, Alexander E.; Kuzma, Bojan; Orel, Marko 10 2011 Operators preserving primitivity for matrix pairs. Zbl 1215.15030Beasley, LeRoy B.; Guterman, Alexander E. 2 2010 On independence numbers of distance graphs with vertices in \(\{-1,0,1\}^n\): estimates, conjectures, and applications to the Nelson-Erdős-hadwiger problem and the borsuk problem. Zbl 1288.05136Guterman, A. È.; Lyubimov, V. K.; Raĭgorodskiĭ, A. M.; Usachev, S. A. 2 2010 Linear independence over tropical semirings and beyond. Zbl 1182.15002Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 66 2009 Commutative matrix subalgebras and length function. Zbl 1160.13016Guterman, A. E.; Markova, O. V. 23 2009 The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010Beasley, LeRoy B.; Guterman, Alexander E. 7 2009 Preserving zeros of a polynomial. Zbl 1183.15026Guterman, A. E.; Kuzma, B. 7 2009 Preserving regular tournaments and term rank-1. Zbl 1168.05311Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E. 4 2009 Maps preserving zeros of matrix polynomials. Zbl 1185.15020Guterman, A.; Kuzma, B. 2 2009 On the independence number of distance graphs with vertices in \(\{-1,0,1\}^n\). Zbl 1210.05095Guterman, A. É.; Lyubimov, V. K.; Raigorodskii, A. M.; Usachev, S. A. 2 2009 Matrix invariants over semirings. Zbl 1214.15012Guterman, Alexander E. 1 2009 On linear operators preserving the set of positive polynomials. Zbl 1160.12002Guterman, Alexander; Shapiro, Boris 3 2008 Idempotent Boolean matrices and majorization. Zbl 1146.15006Beasley, L. B.; Guterman, A. E.; Kang, K.-T.; Song, S.-Z. 3 2008 Rank and determinant functions for matrices over semirings. Zbl 1181.16042Guterman, Alexander E. 2 2008 On transformations strongly preserving the zeros of matrix polynomials. Zbl 1176.15036Guterman, A. È; Kuzma, B. 1 2008 Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. Zbl 1142.15004Bogdanov, I. I.; Guterman, A. É. 5 2007 Frobenius and Dieudonné theorems over semirings. Zbl 1110.15004Beasley, Leroy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 3 2007 Monotone additive matrix transformations. Zbl 1139.15001Guterman, A. E. 2 2007 Linear preservers for Sylvester and Frobenius bounds on matrix rank. Zbl 1134.15003Beasley, Leroy B.; Guterman, Alexander E.; Neal, Cora L. 3 2006 Linear preservers of extremes of rank inequalities over semirings: Row and column ranks. Zbl 1089.15002Beasley, Leroy B.; Guterman, Alexander E.; Jun, Young-Bae; Song, Seok-Zun 3 2006 Rank-permutable additive mappings. Zbl 1091.15002Alieva, A. A.; Guterman, A. E.; Kuzma, B. 2 2006 Rank inequalities over semirings. Zbl 1070.15014Beasley, LeRoy B.; Guterman, Alexander E. 18 2005 Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001Beasley, L. B.; Guterman, A. E. 10 2005 Monotone linear transformations on matrices are invertible. Zbl 1082.15002Alieva, Anna A.; Guterman, Alexander E. 7 2005 Linear preservers of zeros of matrix polynomials. Zbl 1076.15003Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 2 2005 General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004Guterman, A. E.; Mikhalev, A. V. 1 2005 Linear preservers of rank permutability. Zbl 1061.15001Alieva, Anna A.; Guterman, Alexander E. 3 2004 Linear transformations preserving the Grassmannian over \(\mathcal M_n(\mathbb Z_+)\). Zbl 1067.15001Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 3 2004 Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005Beasley, L. B.; Guterman, A. E.; Yi, S.-C. 1 2004 Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003Alieva, A. A.; Guterman, A. E. 1 2004 Monotone matrix maps preserve nonmaximal rank. Zbl 1057.15026Guterman, A. 1 2003 Linear maps preserving the Dieudonné determinant over an arbitrary skew field. Zbl 1113.15300Guterman, A. È. 1 2002 Linear preservers for matrix inequalities and partial orderings. Zbl 0985.15018Guterman, Alexander 22 2001 ...and 6 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 373 Authors 69 Guterman, Alexander Èmilevich 25 Markova, Olga V. 23 Gaubert, Stéphane 22 Kuzma, Bojan 22 Shitov, Yaroslav Nikolaevich 15 Dolinar, Gregor 15 Rowen, Louis Halle 14 Beasley, LeRoy B. 10 Song, Seok-Zun 9 Allamigeon, Xavier 9 Izhakian, Zur 9 Zhang, Xian 8 Grigor’ev, Dmitriĭ Yur’evich 7 Budrevich, Mikhail V. 7 Johnson, Marianne 7 Marovt, Janko 6 Akian, Marianne 6 Burgos, María J. 6 Ji, Guoxing 6 Kambites, Mark 5 Duffner, Maria Antónia 5 Katz, Ricardo David 5 Kudryavtsev, Dmitry K. 5 Maksaev, Artem M. 5 Oudghiri, Mourad 5 Tang, Xiaomin 5 Zhilina, Svetlana 4 Arambašić, Ljiljana 4 Bourhim, Abdellatif 4 Cao, Chongguang 4 Efimov, Mikhail A. 4 Giambruno, Antonio 4 Knebusch, Manfred 4 Kolegov, N. A. 4 La Mattina, Daniela 4 Niv, Adi 4 Oblak, Polona 4 Rajić, Rajna 4 Šemrl, Peter 4 Shteyner, Pavel 4 Słowik, Roksana 4 Souilah, Khalid 4 Sze, Nung-Sing 4 Ungor, Burcu 4 Zhilina, S. A. 3 Butkovič, Peter 3 Chen, Yizhi 3 da Cruz, Henrique F. 3 Dolžan, David 3 Đorđević, Dragan S. 3 Halıcıoğlu, Sait 3 Harmanci, Abdullah 3 Kang, Kyungtae 3 Kreĭnes, Elena M. 3 Kyrchei, Ivan I. 3 Lee, Sang-Gu 3 Li, Chi-Kwong 3 Ljubenović, Martin Z. 3 Longstaff, William Ellison 3 Márquez-García, Antonio C. 3 Mbekhta, Mostafa 3 Orel, Marko 3 Ou, Shikun 3 Pereira Soares, Maria da Graca 3 Podol’skiĭ, Vladimir Vladimirovich 3 Poon, Edward 3 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 3 Sergeev, Sergeĭ Mikhaĭlovich 3 Shteyner, P. M. 3 Skomra, Mateusz 3 Spiridonov, I. A. 3 Tanaka, Ryotaro 3 Thome, Néstor 3 Yang, Lin 3 Zhao, Xianzhong 2 Alieva, Anna A. 2 Amara, Zouheir 2 Amiraslani, Amirhossein 2 Bodirsky, Manuel 2 Bogolubsky, L. I. 2 Brown, David E. 2 Chan, Melody 2 Cīrulis, Jānis 2 Coll, Carmen 2 Fang, Li 2 Fošner, Ajda 2 Friedland, Shmuel 2 Ghalandarzadeh, Shaban 2 Gonçalves, Vinicius Mariano 2 Goubault, Eric 2 Herrero, Alicia 2 Hou, Jinchuan 2 Huang, Liping 2 Jamshidvand, Sedighe 2 Jones, Daniel C. 2 Joswig, Michael 2 Jun, Jaiung 2 Kanel’-Belov, Alekseĭ Yakovlevich 2 Kokol-Bukovšek, Damjana 2 Krivulin, Nikolai K. ...and 273 more Authors all top 5 Cited in 99 Serials 98 Linear Algebra and its Applications 41 Journal of Mathematical Sciences (New York) 29 Linear and Multilinear Algebra 12 Communications in Algebra 12 Journal of Algebra 11 Journal of Mathematical Analysis and Applications 11 Applied Mathematics and Computation 8 Mathematical Notes 5 Moscow University Mathematics Bulletin 5 Journal of Pure and Applied Algebra 5 Proceedings of the American Mathematical Society 5 Journal of Symbolic Computation 5 International Journal of Algebra and Computation 5 Journal of Algebra and its Applications 4 Advances in Mathematics 4 Transactions of the American Mathematical Society 4 Discrete & Computational Geometry 4 ELA. The Electronic Journal of Linear Algebra 4 Operators and Matrices 3 Bulletin of the Australian Mathematical Society 3 Israel Journal of Mathematics 3 Journal of Combinatorial Theory. Series A 3 Semigroup Forum 3 Discrete Event Dynamic Systems 3 The Electronic Journal of Combinatorics 3 Journal of Applied Mathematics and Computing 3 Special Matrices 2 Automatica 2 Czechoslovak Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Manuscripta Mathematica 2 Siberian Mathematical Journal 2 Advances in Applied Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 Computational Complexity 2 Journal of Algebraic Combinatorics 2 St. Petersburg Mathematical Journal 2 Doklady Mathematics 2 Theory of Computing Systems 2 Data Mining and Knowledge Discovery 2 Acta Mathematica Sinica. English Series 2 Lobachevskii Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Asian-European Journal of Mathematics 2 Ars Mathematica Contemporanea 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Annals of Functional Analysis 2 Mathematical Sciences 2 Journal of Mathematics 2 European Journal of Mathematics 1 Analysis Mathematica 1 Discrete Applied Mathematics 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Combinatorica 1 Acta Mathematica Hungarica 1 Optimization 1 Information and Computation 1 Asia-Pacific Journal of Operational Research 1 SIAM Journal on Discrete Mathematics 1 Annals of Operations Research 1 MSCS. Mathematical Structures in Computer Science 1 The Journal of Geometric Analysis 1 Discrete Mathematics and Applications 1 Glasnik Matematički. Serija III 1 Mathematical Programming. Series A. Series B 1 Applicable Algebra in Engineering, Communication and Computing 1 Vestnik St. Petersburg University. Mathematics 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Filomat 1 Finite Fields and their Applications 1 The New York Journal of Mathematics 1 Selecta Mathematica. New Series 1 Sbornik: Mathematics 1 Vietnam Journal of Mathematics 1 Discrete Dynamics in Nature and Society 1 Foundations of Computational Mathematics 1 Journal of Applied Mathematics 1 Central European Journal of Mathematics 1 Vladikavkazskiĭ Matematicheskiĭ Zhurnal 1 Mediterranean Journal of Mathematics 1 Sarajevo Journal of Mathematics 1 SIGMA. 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Mathematics & Physics 1 Advances in Operator Theory 1 Higher Structures all top 5 Cited in 38 Fields 264 Linear and multilinear algebra; matrix theory (15-XX) 96 Associative rings and algebras (16-XX) 59 Operator theory (47-XX) 48 Combinatorics (05-XX) 48 Algebraic geometry (14-XX) 32 Order, lattices, ordered algebraic structures (06-XX) 25 Group theory and generalizations (20-XX) 23 Computer science (68-XX) 21 Functional analysis (46-XX) 20 Nonassociative rings and algebras (17-XX) 19 Field theory and polynomials (12-XX) 15 Commutative algebra (13-XX) 15 Operations research, mathematical programming (90-XX) 14 Convex and discrete geometry (52-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Numerical analysis (65-XX) 8 Systems theory; control (93-XX) 6 Number theory (11-XX) 5 Category theory; homological algebra (18-XX) 4 General algebraic systems (08-XX) 4 Quantum theory (81-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Probability theory and stochastic processes (60-XX) 2 Biology and other natural sciences (92-XX) 2 Information and communication theory, circuits (94-XX) 1 History and biography (01-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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