Edit Profile Guterman, Alexander Emilevich Compute Distance To: Compute Author ID: guterman.alexander-e Published as: Guterman, A.; Guterman, A. E.; Guterman, A. Eh.; Guterman, A. È; Guterman, A. È.; Guterman, A. É.; Guterman, Alexander; Guterman, Alexander E. External Links: MGP · Wikidata Documents Indexed: 118 Publications since 1999, including 1 Book Reviewing Activity: 84 Reviews all top 5 Co-Authors 15 single-authored 16 Kuzma, Bojan 13 Beasley, LeRoy B. 13 Dolinar, Gregor 13 Markova, Olga V. 9 Budrevich, Mikhail V. 5 Alieva, Anna A. 5 Maksaev, Artem M. 5 Pereira Soares, Maria da Graca 5 Song, Seok-Zun 4 Duffner, Maria Antónia 4 Efimov, Mikhail A. 4 Kudryavtsev, Dmitry K. 4 Shteyner, Pavel 3 Akian, Marianne 3 Gaubert, Stéphane 3 Lee, Sang-Gu 3 Lemos, Rute 3 Oblak, Polona 3 Shitov, Yaroslav Nikolaevich 3 Taranin, K. A. 2 Dahl, Geir 2 Johnson, Marianne 2 Kambites, Mark 2 Kreĭnes, Elena M. 2 Lyubimov, V. K. 2 Marovt, Janko 2 Mary, Xavier 2 Mehrmann, Volker 2 Mikhalëv, Aleksandr Vasil’evich 2 Orel, Marko 2 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 2 Shteyner, P. M. 2 Usachev, S. A. 1 Arambašić, Ljiljana 1 Bakhadly, B. R. 1 Bakhadly, Bakhad 1 Bogdanov, Ilya I. 1 Brown, David E. 1 Butkovič, Peter 1 Danielyan, S. V. 1 de la Puente, Maria Jesus 1 Herrero, Alicia 1 Jun, Young Bae 1 Kang, Koo Tae 1 Krejnes, E. M. 1 Laffey, Thomas J. 1 Li, Chi-Kwong 1 Loiseau, Jean Jacques 1 McEneaney, William M. 1 Neal, Cora L. 1 Ostroukhova, N. V. 1 Purificação Coelho, M. 1 Rajić, Rajna 1 Regev, Amitai 1 Šemrl, Peter 1 Shapiro, Boris Zalmanovich 1 Šmigoc, Helena 1 Sochnev, S. D. 1 Spiridonov, I. A. 1 Thome, Néstor 1 Vaĭsman, O. A. 1 Wagneur, Edouard 1 Wang, Qingwen 1 Yi, Sicheng 1 Zhilina, S. A. 1 Zhilina, Svetlana all top 5 Serials 24 Linear Algebra and its Applications 24 Journal of Mathematical Sciences (New York) 5 Communications in Algebra 5 Linear and Multilinear Algebra 5 Fundamental’naya i Prikladnaya Matematika 3 Mathematical Notes 3 Russian Mathematical Surveys 3 Special Matrices 2 Applied Mathematics and Computation 2 Journal of Algebra 2 International Journal of Algebra and Computation 2 Sbornik: Mathematics 2 Mathematical Inequalities & Applications 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 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 Journal of Algebra and its Applications 1 Sarajevo Journal of Mathematics 1 Chebyshevskiĭ Sbornik 1 Journal of Fixed Point Theory and Applications 1 Journal of Mathematical Inequalities 1 Banach Journal of Mathematical Analysis all top 5 Fields 99 Linear and multilinear algebra; matrix theory (15-XX) 32 Associative rings and algebras (16-XX) 18 Combinatorics (05-XX) 14 Order, lattices, ordered algebraic structures (06-XX) 5 Group theory and generalizations (20-XX) 4 Operator theory (47-XX) 3 Field theory and polynomials (12-XX) 3 Algebraic geometry (14-XX) 3 Nonassociative rings and algebras (17-XX) 2 Commutative algebra (13-XX) 2 Functional analysis (46-XX) 2 Numerical analysis (65-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Integral transforms, operational calculus (44-XX) 1 Convex and discrete geometry (52-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 89 Publications have been cited 485 times in 333 Documents Cited by ▼ Year ▼ Some general techniques on linear preserver problems. Zbl 0964.15004Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter 63 2000 Linear independence over tropical semirings and beyond. Zbl 1182.15002Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 58 2009 Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 52 2012 Linear preservers for matrix inequalities and partial orderings. Zbl 0985.15018Guterman, Alexander 22 2001 Commutative matrix subalgebras and length function. Zbl 1160.13016Guterman, A. E.; Markova, O. V. 19 2009 Rank inequalities over semirings. Zbl 1070.15014Beasley, LeRoy B.; Guterman, Alexander E. 17 2005 Tropical Cramer determinants revisited. Zbl 1320.14074Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 11 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 10 2014 A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena 9 2018 Extremal matrix centralizers. Zbl 1269.15016Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 9 2013 Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023Guterman, A. E.; Markova, O. V.; Mehrmann, V. 8 2019 Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001Beasley, L. B.; Guterman, A. E. 8 2005 Linear preservers for Drazin star partial order. Zbl 0995.15010Guterman, Alexander 8 2001 On the Pólya permanent problem over finite fields. Zbl 1209.15011Dolinar, Gregor; Guterman, Alexander E.; Kuzma, Bojan; Orel, Marko 7 2011 Preserving zeros of a polynomial. Zbl 1183.15026Guterman, A. E.; Kuzma, B. 7 2009 Monotone linear transformations on matrices are invertible. Zbl 1082.15002Alieva, Anna A.; Guterman, Alexander E. 7 2005 On the growth of identities. Zbl 0964.16025Regev, Amitai; Guterman, Alexander 7 2000 Graphs defined by orthogonality. Zbl 1343.16020Bakhadly, B. R.; Guterman, A. E.; Markova, O. V. 6 2015 Commuting graphs and extremal centralizers. Zbl 1306.05127Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 6 2014 The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010Beasley, LeRoy B.; Guterman, Alexander E. 6 2009 Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050Guterman, A. E.; Markova, O. V.; Mehrmann, V. 5 2016 New matrix partial order based on spectrally orthogonal matrix decomposition. Zbl 1375.15014Guterman, Alexander; Herrero, Alicia; Thome, Néstor 5 2016 Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038Dolinar, Gregor; Guterman, Alexander; Marovt, Janko 5 2013 Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. Zbl 1142.15004Bogdanov, I. I.; Guterman, A. É. 5 2007 Majorization for matrix classes. Zbl 1401.15039Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 4 2018 Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040Guterman, Alexander; Johnson, Marianne; Kambites, Mark 4 2018 Permanent has less zeros than determinant over finite fields. Zbl 1280.15003Budrevich, Mikhail V.; Guterman, Alexander E. 4 2012 Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038Guterman, A. E.; Shitov, Ya. N. 4 2012 Preserving regular tournaments and term rank-1. Zbl 1168.05311Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E. 4 2009 Kräuter conjecture on permanents is true. Zbl 1443.15005Budrevich, M. V.; Guterman, A. E. 3 2019 On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019Guterman, A. E.; Taranin, K. A. 3 2018 The arctic rank of a Boolean matrix. Zbl 1312.15043Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav 3 2015 Immanant conversion on symmetric matrices. Zbl 1294.15008Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E. 3 2014 Pólya convertibility problem for symmetric matrices. Zbl 1268.15004Guterman, A.; Dolinar, G.; Kuz’ma, B. 3 2012 On linear operators preserving the set of positive polynomials. Zbl 1160.12002Guterman, Alexander; Shapiro, Boris 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 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 Linear preservers of zeros of matrix polynomials. Zbl 1076.15003Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun 3 2005 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 rank permutability. Zbl 1061.15001Alieva, Anna A.; Guterman, Alexander E. 3 2004 Upper bounds for the length of non-associative algebras. Zbl 07128767Guterman, A. E.; Kudryavtsev, D. K. 2 2020 Majorization for \((0,1)\)-matrices. Zbl 1427.15017Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 2 2020 The lengths of group algebras of small-order groups. Zbl 1428.16026Guterman, A. E.; Markova, O. V. 2 2019 Relationship graphs of real Cayley-Dickson algebras. Zbl 07139591Guterman, A. E.; Zhilina, S. A. 2 2019 Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga 2 2019 Additive maps preserving the scrambling index are bijective. Zbl 1413.05038Guterman, 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 Maps preserving scrambling index. Zbl 1392.15039Guterman, A. E.; Maksaev, A. M. 2 2018 The lengths of the quaternion and octonion algebras. Zbl 1380.16017Guterman, Alexander E.; Kudryavtsev, D. K. 2 2017 Converting immanants on singular symmetric matrices. Zbl 1376.15003Duffner, M. A.; Guterman, A. E. 2 2017 Rank functions of tropical matrices. Zbl 1334.15004Guterman, Alexander; Shitov, Yaroslav 2 2016 Extremal case in Marcus-Oliveira conjecture and beyond. Zbl 1292.15006Guterman, Alexander; Lemos, Rute; Soares, Graça 2 2013 On the Gibson barrier for the Pólya problem. Zbl 1259.15009Dolinar, G.; Guterman, A. E.; Kuzma, B. 2 2012 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 Operators preserving primitivity for matrix pairs. Zbl 1215.15030Beasley, LeRoy B.; Guterman, Alexander E. 2 2010 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 Maps preserving zeros of matrix polynomials. Zbl 1185.15020Guterman, A.; Kuzma, B. 2 2009 Idempotent Boolean matrices and majorization. Zbl 1146.15006Beasley, L. B.; Guterman, A. E.; Kang, K.-T.; Song, S.-Z. 2 2008 Rank and determinant functions for matrices over semirings. Zbl 1181.16042Guterman, Alexander E. 2 2008 Monotone additive matrix transformations. Zbl 1139.15001Guterman, A. E. 2 2007 Rank-permutable additive mappings. Zbl 1091.15002Alieva, A. A.; Guterman, A. E.; Kuzma, B. 2 2006 Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 07238126Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana 1 2020 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 Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037Budrevich, M. V.; Guterman, A. E.; Duffner, M. A. 1 2019 Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070Guterman, Alexander E.; Maksaev, Artem M. 1 2018 On the determinantal range of matrix products. Zbl 1395.15005Guterman, A.; Soares, G. 1 2018 Orthogonality graphs of matrices over skew fields. Zbl 1419.05125Guterman, A. E.; Markova, O. V. 1 2018 On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009Budrevich, M. V.; Guterman, A. E.; Taranin, K. A. 1 2018 Maps preserving matrices of extremal scrambling index. Zbl 1391.15091Guterman, A. E.; Maksaev, A. M. 1 2018 On the \(C\)-determinantal range for special classes of matrices. Zbl 1410.15045Guterman, Alexander; Lemos, Rute; Soares, Graça 1 2016 Lower bounds for Pólya’s problem on permanent. Zbl 1347.05108Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan 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 On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A. 1 2016 Maps on operators strongly preserving sharp order. Zbl 1345.15007Efimov, M. A.; Guterman, A. E. 1 2015 The algebra of semimagic matrices and its length. Zbl 1309.15026Guterman, A. E.; Markova, O. V.; Sochnev, S. D. 1 2014 Commutativity preservers via maximal centralizers. Zbl 1340.15027Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 1 2014 Monotone maps on matrices of index one. Zbl 1278.15006Guterman, A. E.; Efimov, M. A. 1 2013 On the Gibson bounds over finite fields. Zbl 1374.15014Budrevich, Mikhail; Guterman, Alexander E. 1 2012 On transformations strongly preserving the zeros of matrix polynomials. Zbl 1176.15036Guterman, A. È; Kuzma, B. 1 2008 General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004Guterman, A. E.; Mikhalev, A. V. 1 2005 Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003Alieva, A. A.; Guterman, A. E. 1 2004 Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005Beasley, L. B.; Guterman, A. E.; Yi, S.-C. 1 2004 Transformations of nonnegative integer-valued matrices that preserve the determinant. Zbl 1059.15004Guterman, A. Eh. 1 2003 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 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 Upper bounds for the length of non-associative algebras. Zbl 07128767Guterman, A. E.; Kudryavtsev, D. K. 2 2020 Majorization for \((0,1)\)-matrices. Zbl 1427.15017Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 2 2020 Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 07238126Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana 1 2020 Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023Guterman, A. E.; Markova, O. V.; Mehrmann, V. 8 2019 Kräuter conjecture on permanents is true. Zbl 1443.15005Budrevich, M. V.; Guterman, A. E. 3 2019 The lengths of group algebras of small-order groups. Zbl 1428.16026Guterman, A. E.; Markova, O. V. 2 2019 Relationship graphs of real Cayley-Dickson algebras. Zbl 07139591Guterman, A. E.; Zhilina, S. A. 2 2019 Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga 2 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 Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037Budrevich, M. V.; Guterman, A. E.; Duffner, M. A. 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 9 2018 Majorization for matrix classes. Zbl 1401.15039Dahl, Geir; Guterman, Alexander; Shteyner, Pavel 4 2018 Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040Guterman, Alexander; Johnson, Marianne; Kambites, Mark 4 2018 On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019Guterman, A. E.; Taranin, K. A. 3 2018 Additive maps preserving the scrambling index are bijective. Zbl 1413.05038Guterman, 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 Maps preserving scrambling index. Zbl 1392.15039Guterman, A. E.; Maksaev, A. M. 2 2018 Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070Guterman, Alexander E.; Maksaev, Artem M. 1 2018 On the determinantal range of matrix products. Zbl 1395.15005Guterman, A.; Soares, G. 1 2018 Orthogonality graphs of matrices over skew fields. Zbl 1419.05125Guterman, A. E.; Markova, O. V. 1 2018 On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009Budrevich, M. V.; Guterman, A. E.; Taranin, K. A. 1 2018 Maps preserving matrices of extremal scrambling index. Zbl 1391.15091Guterman, A. E.; Maksaev, A. M. 1 2018 The lengths of the quaternion and octonion algebras. Zbl 1380.16017Guterman, Alexander E.; Kudryavtsev, D. K. 2 2017 Converting immanants on singular symmetric matrices. Zbl 1376.15003Duffner, M. A.; Guterman, A. E. 2 2017 Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050Guterman, A. E.; Markova, O. V.; Mehrmann, V. 5 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 Lower bounds for Pólya’s problem on permanent. Zbl 1347.05108Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan 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 On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A. 1 2016 Graphs defined by orthogonality. Zbl 1343.16020Bakhadly, B. R.; Guterman, A. E.; Markova, O. V. 6 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 11 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 10 2014 Commuting graphs and extremal centralizers. Zbl 1306.05127Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 6 2014 Immanant conversion on symmetric matrices. Zbl 1294.15008Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E. 3 2014 The algebra of semimagic matrices and its length. Zbl 1309.15026Guterman, A. E.; Markova, O. V.; Sochnev, S. D. 1 2014 Commutativity preservers via maximal centralizers. Zbl 1340.15027Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 1 2014 Extremal matrix centralizers. Zbl 1269.15016Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona 9 2013 Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038Dolinar, Gregor; Guterman, Alexander; Marovt, Janko 5 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 Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 52 2012 Permanent has less zeros than determinant over finite fields. Zbl 1280.15003Budrevich, Mikhail V.; Guterman, Alexander E. 4 2012 Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038Guterman, A. E.; Shitov, Ya. N. 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 7 2011 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 Operators preserving primitivity for matrix pairs. Zbl 1215.15030Beasley, LeRoy B.; Guterman, Alexander E. 2 2010 Linear independence over tropical semirings and beyond. Zbl 1182.15002Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander 58 2009 Commutative matrix subalgebras and length function. Zbl 1160.13016Guterman, A. E.; Markova, O. V. 19 2009 Preserving zeros of a polynomial. Zbl 1183.15026Guterman, A. E.; Kuzma, B. 7 2009 The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010Beasley, LeRoy B.; Guterman, Alexander E. 6 2009 Preserving regular tournaments and term rank-1. Zbl 1168.05311Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E. 4 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 Maps preserving zeros of matrix polynomials. Zbl 1185.15020Guterman, A.; Kuzma, B. 2 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. 2 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. 17 2005 Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001Beasley, L. B.; Guterman, A. E. 8 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 3 2005 General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004Guterman, A. E.; Mikhalev, A. V. 1 2005 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 rank permutability. Zbl 1061.15001Alieva, Anna A.; Guterman, Alexander E. 3 2004 Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003Alieva, A. A.; Guterman, A. E. 1 2004 Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005Beasley, L. B.; Guterman, A. E.; Yi, S.-C. 1 2004 Transformations of nonnegative integer-valued matrices that preserve the determinant. Zbl 1059.15004Guterman, A. Eh. 1 2003 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 Linear preservers for Drazin star partial order. Zbl 0995.15010Guterman, Alexander 8 2001 Frobenius type theorems in the noncommutative case. Zbl 0984.15006Guterman, Alexander 1 2001 Some general techniques on linear preserver problems. Zbl 0964.15004Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter 63 2000 On the growth of identities. Zbl 0964.16025Regev, Amitai; Guterman, Alexander 7 2000 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 all cited Publications top 5 cited Publications all top 5 Cited by 326 Authors 54 Guterman, Alexander Emilevich 21 Gaubert, Stéphane 21 Shitov, Yaroslav Nikolaevich 19 Markova, Olga V. 16 Kuzma, Bojan 14 Beasley, LeRoy B. 13 Rowen, Louis Halle 11 Dolinar, Gregor 10 Izhakian, Zur 10 Song, Seok-Zun 9 Allamigeon, Xavier 9 Zhang, Xian 7 Budrevich, Mikhail V. 6 Akian, Marianne 6 Burgos, María J. 6 Grigor’ev, Dmitriĭ Yur’evich 6 Ji, Guoxing 5 Johnson, Marianne 5 Katz, Ricardo David 5 Niv, Adi 5 Tang, Xiaomin 4 Bourhim, Abdellatif 4 Cao, Chongguang 4 Efimov, Mikhail A. 4 Giambruno, Antonio 4 Kambites, Mark 4 Knebusch, Manfred 4 Kudryavtsev, Dmitry K. 4 La Mattina, Daniela 4 Maksaev, Artem M. 4 Marovt, Janko 4 Šemrl, Peter 4 Słowik, Roksana 4 Sze, Nung-Sing 3 Butkovič, Peter 3 Chen, Yizhi 3 Dolžan, David 3 Halıcıoğlu, Sait 3 Harmanci, Abdullah 3 Kang, Kyungtae 3 Kolegov, N. A. 3 Krivulin, Nikolai K. 3 Kyrchei, Ivan I. 3 Lee, Sang-Gu 3 Li, Chi-Kwong 3 Lim, Ming-Huat 3 Márquez-García, Antonio C. 3 Mbekhta, Mostafa 3 Oblak, Polona 3 Oudghiri, Mourad 3 Pereira Soares, Maria da Graca 3 Podol’skiĭ, Vladimir Vladimirovich 3 Raĭgorodskiĭ, Andreĭ Mikhaĭlovich 3 Sergeev, Sergeĭ Mikhaĭlovich 3 Shteyner, Pavel 3 Skomra, Mateusz 3 Souilah, Khalid 3 Thome, Néstor 3 Ungor, Burcu 3 Yang, Lin 3 Zhao, Xianzhong 2 Alieva, Anna A. 2 Amiraslani, Amirhossein 2 Arambašić, Ljiljana 2 Bodirsky, Manuel 2 Bogolubsky, L. I. 2 Brown, David E. 2 Chan, Melody 2 Chooi, Wai-Leong 2 Cīrulis, Jānis 2 da Cruz, Henrique F. 2 Đorđević, Dragan S. 2 Duffner, Maria Antónia 2 Fang, Li 2 Fošner, Ajda 2 Ghalandarzadeh, Shaban 2 Goubault, Eric 2 Hou, Jinchuan 2 Huang, Liping 2 Jamshidvand, Sedighe 2 Jones, Daniel C. 2 Joswig, Michael 2 Kanel’-Belov, Alekseĭ Yakovlevich 2 Kokol-Bukovšek, Damjana 2 Laffey, Thomas J. 2 Legiša, Peter 2 Lemos, Rute 2 Ljubenović, Martin Z. 2 Loho, Georg 2 Maccaig, Marie 2 Malev, Sergey 2 Mamino, Marcello 2 Mehrmann, Volker 2 Merlet, Glenn 2 Morales Campoy, Antonio 2 Mosić, Dijana 2 Olia, Fateme 2 Orel, Marko 2 Pereira, Rajesh 2 Petek, Tatjana ...and 226 more Authors all top 5 Cited in 89 Serials 92 Linear Algebra and its Applications 33 Journal of Mathematical Sciences (New York) 25 Linear and Multilinear Algebra 11 Journal of Algebra 9 Communications in Algebra 9 Applied Mathematics and Computation 7 Journal of Mathematical Analysis and Applications 7 Mathematical Notes 5 Moscow University Mathematics Bulletin 4 Proceedings of the American Mathematical Society 4 Journal of Symbolic Computation 4 Discrete & Computational Geometry 4 ELA. The Electronic Journal of Linear Algebra 3 Israel Journal of Mathematics 3 Advances in Mathematics 3 Journal of Combinatorial Theory. Series A 3 Journal of Pure and Applied Algebra 3 Semigroup Forum 3 Transactions of the American Mathematical Society 3 International Journal of Algebra and Computation 3 Journal of Applied Mathematics and Computing 3 Journal of Algebra and its Applications 3 Operators and Matrices 2 Czechoslovak Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Advances in Applied Mathematics 2 SIAM Journal on Matrix Analysis and Applications 2 Discrete Event Dynamic Systems 2 Computational Complexity 2 Journal of Algebraic Combinatorics 2 Doklady Mathematics 2 Theory of Computing Systems 2 Acta Mathematica Sinica. English Series 2 Lobachevskii Journal of Mathematics 2 Banach Journal of Mathematical Analysis 2 Ars Mathematica Contemporanea 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Mathematical Sciences 2 Special Matrices 1 Bulletin of the Australian Mathematical Society 1 Discrete Applied Mathematics 1 Problems of Information Transmission 1 Rocky Mountain Journal of Mathematics 1 Automatica 1 Demonstratio Mathematica 1 Illinois Journal of Mathematics 1 Journal of Functional Analysis 1 Journal of the Korean Mathematical Society 1 Manuscripta Mathematica 1 Mathematische Zeitschrift 1 Results in Mathematics 1 Siberian Mathematical Journal 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 Mathematical Programming. Series A. Series B 1 Vestnik St. Petersburg University. Mathematics 1 St. Petersburg Mathematical Journal 1 Turkish Journal of Mathematics 1 Advances in Applied Clifford Algebras 1 Finite Fields and their Applications 1 The Electronic Journal of Combinatorics 1 The New York Journal of Mathematics 1 Sbornik: 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. Symmetry, Integrability and Geometry: Methods and Applications 1 Algebra & Number Theory 1 Annals of Functional Analysis 1 Numerical Algebra, Control and Optimization 1 Mathematical Control and Related Fields 1 Journal of Mathematics 1 International Scholarly Research Notices. Algebra 1 European Journal of Mathematics 1 Open Mathematics 1 Advances in Operator Theory 1 Higher Structures all top 5 Cited in 34 Fields 223 Linear and multilinear algebra; matrix theory (15-XX) 86 Associative rings and algebras (16-XX) 51 Operator theory (47-XX) 38 Algebraic geometry (14-XX) 33 Combinatorics (05-XX) 29 Order, lattices, ordered algebraic structures (06-XX) 19 Group theory and generalizations (20-XX) 16 Functional analysis (46-XX) 16 Computer science (68-XX) 14 Field theory and polynomials (12-XX) 14 Operations research, mathematical programming (90-XX) 12 Convex and discrete geometry (52-XX) 11 Numerical analysis (65-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 10 Commutative algebra (13-XX) 9 Nonassociative rings and algebras (17-XX) 5 Systems theory; control (93-XX) 4 Number theory (11-XX) 4 Quantum theory (81-XX) 3 General algebraic systems (08-XX) 3 Category theory; homological algebra (18-XX) 2 Mathematical logic and foundations (03-XX) 2 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 1 General and overarching topics; collections (00-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-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 Probability theory and stochastic processes (60-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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