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Guterman, Alexander Emilevich

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Author ID: guterman.alexander-e Recent zbMATH articles by "Guterman, Alexander Emilevich"
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

Publications by Year

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 0964.15004
Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter
63
2000
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
58
2009
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
52
2012
Linear preservers for matrix inequalities and partial orderings. Zbl 0985.15018
Guterman, Alexander
22
2001
Commutative matrix subalgebras and length function. Zbl 1160.13016
Guterman, A. E.; Markova, O. V.
19
2009
Rank inequalities over semirings. Zbl 1070.15014
Beasley, LeRoy B.; Guterman, Alexander E.
17
2005
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, 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 1320.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
10
2014
A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027
Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena
9
2018
Extremal matrix centralizers. Zbl 1269.15016
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
9
2013
Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
8
2019
Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001
Beasley, L. B.; Guterman, A. E.
8
2005
Linear preservers for Drazin star partial order. Zbl 0995.15010
Guterman, Alexander
8
2001
On the Pólya permanent problem over finite fields. Zbl 1209.15011
Dolinar, Gregor; Guterman, Alexander E.; Kuzma, Bojan; Orel, Marko
7
2011
Preserving zeros of a polynomial. Zbl 1183.15026
Guterman, A. E.; Kuzma, B.
7
2009
Monotone linear transformations on matrices are invertible. Zbl 1082.15002
Alieva, Anna A.; Guterman, Alexander E.
7
2005
On the growth of identities. Zbl 0964.16025
Regev, Amitai; Guterman, Alexander
7
2000
Graphs defined by orthogonality. Zbl 1343.16020
Bakhadly, B. R.; Guterman, A. E.; Markova, O. V.
6
2015
Commuting graphs and extremal centralizers. Zbl 1306.05127
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
6
2014
The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010
Beasley, LeRoy B.; Guterman, Alexander E.
6
2009
Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
5
2016
New matrix partial order based on spectrally orthogonal matrix decomposition. Zbl 1375.15014
Guterman, Alexander; Herrero, Alicia; Thome, Néstor
5
2016
Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
5
2013
Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. Zbl 1142.15004
Bogdanov, I. I.; Guterman, A. É.
5
2007
Majorization for matrix classes. Zbl 1401.15039
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
4
2018
Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040
Guterman, Alexander; Johnson, Marianne; Kambites, Mark
4
2018
Permanent has less zeros than determinant over finite fields. Zbl 1280.15003
Budrevich, Mikhail V.; Guterman, Alexander E.
4
2012
Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038
Guterman, A. E.; Shitov, Ya. N.
4
2012
Preserving regular tournaments and term rank-1. Zbl 1168.05311
Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E.
4
2009
Kräuter conjecture on permanents is true. Zbl 1443.15005
Budrevich, M. V.; Guterman, A. E.
3
2019
On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019
Guterman, A. E.; Taranin, K. A.
3
2018
The arctic rank of a Boolean matrix. Zbl 1312.15043
Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav
3
2015
Immanant conversion on symmetric matrices. Zbl 1294.15008
Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E.
3
2014
Pólya convertibility problem for symmetric matrices. Zbl 1268.15004
Guterman, A.; Dolinar, G.; Kuz’ma, B.
3
2012
On linear operators preserving the set of positive polynomials. Zbl 1160.12002
Guterman, Alexander; Shapiro, Boris
3
2008
Frobenius and Dieudonné theorems over semirings. Zbl 1110.15004
Beasley, Leroy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun
3
2007
Linear preservers for Sylvester and Frobenius bounds on matrix rank. Zbl 1134.15003
Beasley, Leroy B.; Guterman, Alexander E.; Neal, Cora L.
3
2006
Linear preservers of extremes of rank inequalities over semirings: Row and column ranks. Zbl 1089.15002
Beasley, Leroy B.; Guterman, Alexander E.; Jun, Young-Bae; Song, Seok-Zun
3
2006
Linear preservers of zeros of matrix polynomials. Zbl 1076.15003
Beasley, 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 1067.15001
Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun
3
2004
Linear preservers of rank permutability. Zbl 1061.15001
Alieva, Anna A.; Guterman, Alexander E.
3
2004
Upper bounds for the length of non-associative algebras. Zbl 07128767
Guterman, A. E.; Kudryavtsev, D. K.
2
2020
Majorization for \((0,1)\)-matrices. Zbl 1427.15017
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
2
2020
The lengths of group algebras of small-order groups. Zbl 1428.16026
Guterman, A. E.; Markova, O. V.
2
2019
Relationship graphs of real Cayley-Dickson algebras. Zbl 07139591
Guterman, A. E.; Zhilina, S. A.
2
2019
Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga
2
2019
Additive maps preserving the scrambling index are bijective. Zbl 1413.05038
Guterman, A. E.; Maksaev, A. M.
2
2018
Extremal generalized centralizers in matrix algebras. Zbl 1393.15023
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga
2
2018
Maps preserving scrambling index. Zbl 1392.15039
Guterman, A. E.; Maksaev, A. M.
2
2018
The lengths of the quaternion and octonion algebras. Zbl 1380.16017
Guterman, Alexander E.; Kudryavtsev, D. K.
2
2017
Converting immanants on singular symmetric matrices. Zbl 1376.15003
Duffner, M. A.; Guterman, A. E.
2
2017
Rank functions of tropical matrices. Zbl 1334.15004
Guterman, Alexander; Shitov, Yaroslav
2
2016
Extremal case in Marcus-Oliveira conjecture and beyond. Zbl 1292.15006
Guterman, Alexander; Lemos, Rute; Soares, Graça
2
2013
On the Gibson barrier for the Pólya problem. Zbl 1259.15009
Dolinar, 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 1288.05136
Guterman, A. È.; Lyubimov, V. K.; Raĭgorodskiĭ, A. M.; Usachev, S. A.
2
2010
Operators preserving primitivity for matrix pairs. Zbl 1215.15030
Beasley, LeRoy B.; Guterman, Alexander E.
2
2010
On the independence number of distance graphs with vertices in \(\{-1,0,1\}^n\). Zbl 1210.05095
Guterman, A. É.; Lyubimov, V. K.; Raigorodskii, A. M.; Usachev, S. A.
2
2009
Maps preserving zeros of matrix polynomials. Zbl 1185.15020
Guterman, A.; Kuzma, B.
2
2009
Idempotent Boolean matrices and majorization. Zbl 1146.15006
Beasley, L. B.; Guterman, A. E.; Kang, K.-T.; Song, S.-Z.
2
2008
Rank and determinant functions for matrices over semirings. Zbl 1181.16042
Guterman, Alexander E.
2
2008
Monotone additive matrix transformations. Zbl 1139.15001
Guterman, A. E.
2
2007
Rank-permutable additive mappings. Zbl 1091.15002
Alieva, A. A.; Guterman, A. E.; Kuzma, B.
2
2006
Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 07238126
Arambašić, 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 1433.05174
Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan
1
2019
Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037
Budrevich, M. V.; Guterman, A. E.; Duffner, M. A.
1
2019
Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070
Guterman, Alexander E.; Maksaev, Artem M.
1
2018
On the determinantal range of matrix products. Zbl 1395.15005
Guterman, A.; Soares, G.
1
2018
Orthogonality graphs of matrices over skew fields. Zbl 1419.05125
Guterman, A. E.; Markova, O. V.
1
2018
On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009
Budrevich, M. V.; Guterman, A. E.; Taranin, K. A.
1
2018
Maps preserving matrices of extremal scrambling index. Zbl 1391.15091
Guterman, A. E.; Maksaev, A. M.
1
2018
On the \(C\)-determinantal range for special classes of matrices. Zbl 1410.15045
Guterman, Alexander; Lemos, Rute; Soares, Graça
1
2016
Lower bounds for Pólya’s problem on permanent. Zbl 1347.05108
Budrevich, 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 1353.15015
Guterman, Alexander E.; Markova, O. V.
1
2016
On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006
Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A.
1
2016
Maps on operators strongly preserving sharp order. Zbl 1345.15007
Efimov, M. A.; Guterman, A. E.
1
2015
The algebra of semimagic matrices and its length. Zbl 1309.15026
Guterman, A. E.; Markova, O. V.; Sochnev, S. D.
1
2014
Commutativity preservers via maximal centralizers. Zbl 1340.15027
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
1
2014
Monotone maps on matrices of index one. Zbl 1278.15006
Guterman, A. E.; Efimov, M. A.
1
2013
On the Gibson bounds over finite fields. Zbl 1374.15014
Budrevich, Mikhail; Guterman, Alexander E.
1
2012
On transformations strongly preserving the zeros of matrix polynomials. Zbl 1176.15036
Guterman, A. È; Kuzma, B.
1
2008
General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004
Guterman, A. E.; Mikhalev, A. V.
1
2005
Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003
Alieva, A. A.; Guterman, A. E.
1
2004
Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005
Beasley, L. B.; Guterman, A. E.; Yi, S.-C.
1
2004
Transformations of nonnegative integer-valued matrices that preserve the determinant. Zbl 1059.15004
Guterman, A. Eh.
1
2003
Monotone matrix maps preserve nonmaximal rank. Zbl 1057.15026
Guterman, A.
1
2003
Linear maps preserving the Dieudonné determinant over an arbitrary skew field. Zbl 1113.15300
Guterman, A. È.
1
2002
Frobenius type theorems in the noncommutative case. Zbl 0984.15006
Guterman, Alexander
1
2001
Singularity preservers over local domains. Zbl 0991.15002
Guterman, A.
1
2000
A note on linear preservers of a certain matrix partial order. Zbl 0959.15027
Guterman, Alexander
1
2000
Upper bounds for the length of non-associative algebras. Zbl 07128767
Guterman, A. E.; Kudryavtsev, D. K.
2
2020
Majorization for \((0,1)\)-matrices. Zbl 1427.15017
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
2
2020
Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 07238126
Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana
1
2020
Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
8
2019
Kräuter conjecture on permanents is true. Zbl 1443.15005
Budrevich, M. V.; Guterman, A. E.
3
2019
The lengths of group algebras of small-order groups. Zbl 1428.16026
Guterman, A. E.; Markova, O. V.
2
2019
Relationship graphs of real Cayley-Dickson algebras. Zbl 07139591
Guterman, A. E.; Zhilina, S. A.
2
2019
Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga
2
2019
Graph characterization of fully indecomposable nonconvertible \((0, 1)\)-matrices with minimal number of ones. Zbl 1433.05174
Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan
1
2019
Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037
Budrevich, M. V.; Guterman, A. E.; Duffner, M. A.
1
2019
A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027
Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena
9
2018
Majorization for matrix classes. Zbl 1401.15039
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
4
2018
Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040
Guterman, Alexander; Johnson, Marianne; Kambites, Mark
4
2018
On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019
Guterman, A. E.; Taranin, K. A.
3
2018
Additive maps preserving the scrambling index are bijective. Zbl 1413.05038
Guterman, A. E.; Maksaev, A. M.
2
2018
Extremal generalized centralizers in matrix algebras. Zbl 1393.15023
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga
2
2018
Maps preserving scrambling index. Zbl 1392.15039
Guterman, A. E.; Maksaev, A. M.
2
2018
Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070
Guterman, Alexander E.; Maksaev, Artem M.
1
2018
On the determinantal range of matrix products. Zbl 1395.15005
Guterman, A.; Soares, G.
1
2018
Orthogonality graphs of matrices over skew fields. Zbl 1419.05125
Guterman, A. E.; Markova, O. V.
1
2018
On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009
Budrevich, M. V.; Guterman, A. E.; Taranin, K. A.
1
2018
Maps preserving matrices of extremal scrambling index. Zbl 1391.15091
Guterman, A. E.; Maksaev, A. M.
1
2018
The lengths of the quaternion and octonion algebras. Zbl 1380.16017
Guterman, Alexander E.; Kudryavtsev, D. K.
2
2017
Converting immanants on singular symmetric matrices. Zbl 1376.15003
Duffner, M. A.; Guterman, A. E.
2
2017
Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
5
2016
New matrix partial order based on spectrally orthogonal matrix decomposition. Zbl 1375.15014
Guterman, Alexander; Herrero, Alicia; Thome, Néstor
5
2016
Rank functions of tropical matrices. Zbl 1334.15004
Guterman, Alexander; Shitov, Yaroslav
2
2016
On the \(C\)-determinantal range for special classes of matrices. Zbl 1410.15045
Guterman, Alexander; Lemos, Rute; Soares, Graça
1
2016
Lower bounds for Pólya’s problem on permanent. Zbl 1347.05108
Budrevich, 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 1353.15015
Guterman, Alexander E.; Markova, O. V.
1
2016
On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006
Budrevich, M. V.; Guterman, Alexander E.; Taranin, K. A.
1
2016
Graphs defined by orthogonality. Zbl 1343.16020
Bakhadly, B. R.; Guterman, A. E.; Markova, O. V.
6
2015
The arctic rank of a Boolean matrix. Zbl 1312.15043
Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav
3
2015
Maps on operators strongly preserving sharp order. Zbl 1345.15007
Efimov, M. A.; Guterman, A. E.
1
2015
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, 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 1320.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
10
2014
Commuting graphs and extremal centralizers. Zbl 1306.05127
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
6
2014
Immanant conversion on symmetric matrices. Zbl 1294.15008
Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E.
3
2014
The algebra of semimagic matrices and its length. Zbl 1309.15026
Guterman, A. E.; Markova, O. V.; Sochnev, S. D.
1
2014
Commutativity preservers via maximal centralizers. Zbl 1340.15027
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
1
2014
Extremal matrix centralizers. Zbl 1269.15016
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
9
2013
Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
5
2013
Extremal case in Marcus-Oliveira conjecture and beyond. Zbl 1292.15006
Guterman, Alexander; Lemos, Rute; Soares, Graça
2
2013
Monotone maps on matrices of index one. Zbl 1278.15006
Guterman, A. E.; Efimov, M. A.
1
2013
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
52
2012
Permanent has less zeros than determinant over finite fields. Zbl 1280.15003
Budrevich, Mikhail V.; Guterman, Alexander E.
4
2012
Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038
Guterman, A. E.; Shitov, Ya. N.
4
2012
Pólya convertibility problem for symmetric matrices. Zbl 1268.15004
Guterman, A.; Dolinar, G.; Kuz’ma, B.
3
2012
On the Gibson barrier for the Pólya problem. Zbl 1259.15009
Dolinar, G.; Guterman, A. E.; Kuzma, B.
2
2012
On the Gibson bounds over finite fields. Zbl 1374.15014
Budrevich, Mikhail; Guterman, Alexander E.
1
2012
On the Pólya permanent problem over finite fields. Zbl 1209.15011
Dolinar, 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 1288.05136
Guterman, A. È.; Lyubimov, V. K.; Raĭgorodskiĭ, A. M.; Usachev, S. A.
2
2010
Operators preserving primitivity for matrix pairs. Zbl 1215.15030
Beasley, LeRoy B.; Guterman, Alexander E.
2
2010
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
58
2009
Commutative matrix subalgebras and length function. Zbl 1160.13016
Guterman, A. E.; Markova, O. V.
19
2009
Preserving zeros of a polynomial. Zbl 1183.15026
Guterman, A. E.; Kuzma, B.
7
2009
The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010
Beasley, LeRoy B.; Guterman, Alexander E.
6
2009
Preserving regular tournaments and term rank-1. Zbl 1168.05311
Beasley, 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 1210.05095
Guterman, A. É.; Lyubimov, V. K.; Raigorodskii, A. M.; Usachev, S. A.
2
2009
Maps preserving zeros of matrix polynomials. Zbl 1185.15020
Guterman, A.; Kuzma, B.
2
2009
On linear operators preserving the set of positive polynomials. Zbl 1160.12002
Guterman, Alexander; Shapiro, Boris
3
2008
Idempotent Boolean matrices and majorization. Zbl 1146.15006
Beasley, L. B.; Guterman, A. E.; Kang, K.-T.; Song, S.-Z.
2
2008
Rank and determinant functions for matrices over semirings. Zbl 1181.16042
Guterman, Alexander E.
2
2008
On transformations strongly preserving the zeros of matrix polynomials. Zbl 1176.15036
Guterman, A. È; Kuzma, B.
1
2008
Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. Zbl 1142.15004
Bogdanov, I. I.; Guterman, A. É.
5
2007
Frobenius and Dieudonné theorems over semirings. Zbl 1110.15004
Beasley, Leroy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun
3
2007
Monotone additive matrix transformations. Zbl 1139.15001
Guterman, A. E.
2
2007
Linear preservers for Sylvester and Frobenius bounds on matrix rank. Zbl 1134.15003
Beasley, Leroy B.; Guterman, Alexander E.; Neal, Cora L.
3
2006
Linear preservers of extremes of rank inequalities over semirings: Row and column ranks. Zbl 1089.15002
Beasley, Leroy B.; Guterman, Alexander E.; Jun, Young-Bae; Song, Seok-Zun
3
2006
Rank-permutable additive mappings. Zbl 1091.15002
Alieva, A. A.; Guterman, A. E.; Kuzma, B.
2
2006
Rank inequalities over semirings. Zbl 1070.15014
Beasley, LeRoy B.; Guterman, Alexander E.
17
2005
Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001
Beasley, L. B.; Guterman, A. E.
8
2005
Monotone linear transformations on matrices are invertible. Zbl 1082.15002
Alieva, Anna A.; Guterman, Alexander E.
7
2005
Linear preservers of zeros of matrix polynomials. Zbl 1076.15003
Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun
3
2005
General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004
Guterman, A. E.; Mikhalev, A. V.
1
2005
Linear transformations preserving the Grassmannian over \(\mathcal M_n(\mathbb Z_+)\). Zbl 1067.15001
Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun
3
2004
Linear preservers of rank permutability. Zbl 1061.15001
Alieva, Anna A.; Guterman, Alexander E.
3
2004
Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003
Alieva, A. A.; Guterman, A. E.
1
2004
Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005
Beasley, L. B.; Guterman, A. E.; Yi, S.-C.
1
2004
Transformations of nonnegative integer-valued matrices that preserve the determinant. Zbl 1059.15004
Guterman, A. Eh.
1
2003
Monotone matrix maps preserve nonmaximal rank. Zbl 1057.15026
Guterman, A.
1
2003
Linear maps preserving the Dieudonné determinant over an arbitrary skew field. Zbl 1113.15300
Guterman, A. È.
1
2002
Linear preservers for matrix inequalities and partial orderings. Zbl 0985.15018
Guterman, Alexander
22
2001
Linear preservers for Drazin star partial order. Zbl 0995.15010
Guterman, Alexander
8
2001
Frobenius type theorems in the noncommutative case. Zbl 0984.15006
Guterman, Alexander
1
2001
Some general techniques on linear preserver problems. Zbl 0964.15004
Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter
63
2000
On the growth of identities. Zbl 0964.16025
Regev, Amitai; Guterman, Alexander
7
2000
Singularity preservers over local domains. Zbl 0991.15002
Guterman, A.
1
2000
A note on linear preservers of a certain matrix partial order. Zbl 0959.15027
Guterman, Alexander
1
2000
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

Citations by Year

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