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Guterman, Alexander Èmilevich

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Author ID: guterman.alexander-e Recent zbMATH articles by "Guterman, Alexander Èmilevich"
Published as: Guterman, A. E.; Guterman, Alexander; Guterman, Alexander E.; Guterman, A.; Guterman, A. È.; Guterman, A. Eh.; Guterman, A. É.; Guterman, A. È
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

Publications by Year

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 0964.15004
Guterman, Alexander; Li, Chi-Kwong; Šemrl, Peter
68
2000
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
66
2009
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
61
2012
Commutative matrix subalgebras and length function. Zbl 1160.13016
Guterman, A. E.; Markova, O. V.
23
2009
Linear preservers for matrix inequalities and partial orderings. Zbl 0985.15018
Guterman, Alexander
22
2001
Rank inequalities over semirings. Zbl 1070.15014
Beasley, LeRoy B.; Guterman, Alexander E.
18
2005
A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027
Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena
16
2018
Tropical Cramer determinants revisited. Zbl 1320.14074
Akian, 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 1320.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
12
2014
Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
11
2019
Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001
Beasley, L. B.; Guterman, A. E.
10
2005
On the Pólya permanent problem over finite fields. Zbl 1209.15011
Dolinar, Gregor; Guterman, Alexander E.; Kuzma, Bojan; Orel, Marko
10
2011
Extremal matrix centralizers. Zbl 1269.15016
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
10
2013
Linear preservers for Drazin star partial order. Zbl 0995.15010
Guterman, Alexander
8
2001
Majorization for matrix classes. Zbl 1401.15039
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
8
2018
Graphs defined by orthogonality. Zbl 1343.16020
Bakhadly, B. R.; Guterman, A. E.; Markova, O. V.
8
2015
Commuting graphs and extremal centralizers. Zbl 1306.05127
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
7
2014
On the growth of identities. Zbl 0964.16025
Regev, Amitai; Guterman, Alexander
7
2000
The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010
Beasley, LeRoy B.; Guterman, Alexander E.
7
2009
Monotone linear transformations on matrices are invertible. Zbl 1082.15002
Alieva, Anna A.; Guterman, Alexander E.
7
2005
Preserving zeros of a polynomial. Zbl 1183.15026
Guterman, A. E.; Kuzma, B.
7
2009
The lengths of the quaternion and octonion algebras. Zbl 1380.16017
Guterman, Alexander E.; Kudryavtsev, D. K.
6
2017
Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
6
2013
Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
6
2016
The lengths of group algebras of small-order groups. Zbl 1428.16026
Guterman, A. E.; Markova, O. V.
6
2019
New matrix partial order based on spectrally orthogonal matrix decomposition. Zbl 1375.15014
Guterman, Alexander; Herrero, Alicia; Thome, Néstor
5
2016
Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability. Zbl 1142.15004
Bogdanov, I. I.; Guterman, A. É.
5
2007
Immanant conversion on symmetric matrices. Zbl 1294.15008
Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E.
5
2014
Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 1466.46043
Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana
5
2020
Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040
Guterman, Alexander; Johnson, Marianne; Kambites, Mark
5
2018
Upper bounds for the length of non-associative algebras. Zbl 1462.17003
Guterman, A. E.; Kudryavtsev, D. K.
5
2020
Relationship graphs of real Cayley-Dickson algebras. Zbl 1471.17009
Guterman, A. E.; Zhilina, S. A.
5
2019
Preserving regular tournaments and term rank-1. Zbl 1168.05311
Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E.
4
2009
Converting immanants on singular symmetric matrices. Zbl 1376.15003
Duffner, M. A.; Guterman, A. E.
4
2017
Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038
Guterman, A. E.; Shitov, Ya. N.
4
2012
Kräuter conjecture on permanents is true. Zbl 1443.15005
Budrevich, M. V.; Guterman, A. E.
4
2019
Majorization for \((0,1)\)-matrices. Zbl 1427.15017
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
4
2020
On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019
Guterman, A. E.; Taranin, K. A.
4
2018
Permanent has less zeros than determinant over finite fields. Zbl 1280.15003
Budrevich, Mikhail V.; Guterman, Alexander E.
4
2012
Linear preservers for Sylvester and Frobenius bounds on matrix rank. Zbl 1134.15003
Beasley, Leroy B.; Guterman, Alexander E.; Neal, Cora L.
3
2006
The arctic rank of a Boolean matrix. Zbl 1312.15043
Beasley, LeRoy B.; Guterman, Alexander E.; Shitov, Yaroslav
3
2015
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
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.
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 of rank permutability. Zbl 1061.15001
Alieva, Anna A.; Guterman, Alexander E.
3
2004
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
Maps preserving scrambling index. Zbl 1392.15039
Guterman, A. E.; Maksaev, A. M.
3
2018
Pólya convertibility problem for symmetric matrices. Zbl 1268.15004
Guterman, A.; Dolinar, G.; Kuz’ma, B.
3
2012
Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga
3
2019
Additive maps preserving the scrambling index are bijective. Zbl 1413.05038
Guterman, A. E.; Maksaev, A. M.
3
2018
Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037
Budrevich, M. V.; Guterman, A. E.; Duffner, M. A.
3
2019
Monotone additive matrix transformations. Zbl 1139.15001
Guterman, A. E.
2
2007
Rank and determinant functions for matrices over semirings. Zbl 1181.16042
Guterman, Alexander E.
2
2008
The algebra of semimagic matrices and its length. Zbl 1309.15026
Guterman, A. E.; Markova, O. V.; Sochnev, S. D.
2
2014
Rank-permutable additive mappings. Zbl 1091.15002
Alieva, A. A.; Guterman, A. E.; Kuzma, B.
2
2006
Linear preservers of zeros of matrix polynomials. Zbl 1076.15003
Beasley, LeRoy B.; Guterman, Alexander E.; Lee, Sang-Gu; Song, Seok-Zun
2
2005
Operators preserving primitivity for matrix pairs. Zbl 1215.15030
Beasley, LeRoy B.; Guterman, Alexander E.
2
2010
Commutativity preservers via maximal centralizers. Zbl 1340.15027
Dolinar, 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 1288.05136
Guterman, A. È.; Lyubimov, V. K.; Raĭgorodskiĭ, A. M.; Usachev, S. A.
2
2010
On the Gibson barrier for the Pólya problem. Zbl 1259.15009
Dolinar, G.; Guterman, A. E.; Kuzma, B.
2
2012
On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009
Budrevich, M. V.; Guterman, A. E.; Taranin, K. A.
2
2018
Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070
Guterman, Alexander E.; Maksaev, Artem M.
2
2018
Maps preserving zeros of matrix polynomials. Zbl 1185.15020
Guterman, A.; Kuzma, B.
2
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
Absence of linear permanent-determinant converters on skew-symmetric matrices. Zbl 1463.15003
Budrevich, Mikhail V.; Duffner, M. Antónia; Guterman, Alexander E.
2
2018
Characteristic sequences of non-associative algebras. Zbl 1465.17003
Guterman, Alexander E.; Kudryavtsev, Dmitry K.
2
2020
Rank functions of tropical matrices. Zbl 1334.15004
Guterman, Alexander; Shitov, Yaroslav
2
2016
Maps preserving matrices of extremal scrambling index. Zbl 1391.15091
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
Extremal case in Marcus-Oliveira conjecture and beyond. Zbl 1292.15006
Guterman, Alexander; Lemos, Rute; Soares, Graça
2
2013
Linear operators preserving majorization of matrix tuples. Zbl 1469.15031
Guterman, A. E.; Shteyner, P. M.
2
2020
Linear converters of weak, directional and strong majorizations. Zbl 1481.15020
Guterman, Alexander; Shteyner, Pavel
2
2021
Relation graphs of the sedenion algebra. Zbl 07351590
Guterman, A. E.; Zhilina, S. A.
2
2021
Monotone matrix maps preserve nonmaximal rank. Zbl 1057.15026
Guterman, A.
1
2003
Matrix invariants over semirings. Zbl 1214.15012
Guterman, Alexander E.
1
2009
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
On transformations strongly preserving the zeros of matrix polynomials. Zbl 1176.15036
Guterman, A. È; Kuzma, B.
1
2008
Linear maps preserving the Dieudonné determinant over an arbitrary skew field. Zbl 1113.15300
Guterman, A. È.
1
2002
On the Gibson bounds over finite fields. Zbl 1374.15014
Budrevich, Mikhail; Guterman, Alexander E.
1
2012
Linear preservers of extremes of rank inequalities over semirings. Zbl 1075.15005
Beasley, L. B.; Guterman, A. E.; Yi, S.-C.
1
2004
Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003
Alieva, A. A.; Guterman, A. E.
1
2004
General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004
Guterman, A. E.; Mikhalev, A. V.
1
2005
An integral of a polynomial with multiple roots. Zbl 1450.30011
Guterman, A. E.; Danielyan, S. V.
1
2020
Double occurrence words: their graphs and matrices. Zbl 1448.05026
Guterman, A. E.; Kreines, E. M.; Ostroukhova, N. V.
1
2020
The length of a direct sum of nonassociative algebras. Zbl 1480.17001
Guterman, A. E.; Kudryavtsev, D. K.; Markova, O. V.
1
2020
Permanent Polya problem for additive surjective maps. Zbl 1481.15004
Guterman, A. E.; Spiridonov, I. A.
1
2020
Partial orders based on inverses along elements. Zbl 1420.06002
Guterman, A.; Mary, X.; Shteyner, P.
1
2018
Orthogonality graphs of matrices over skew fields. Zbl 1419.05125
Guterman, A. E.; Markova, O. V.
1
2018
On the determinantal range of matrix products. Zbl 1395.15005
Guterman, A.; Soares, G.
1
2018
Monotone maps on matrices of index one. Zbl 1278.15006
Guterman, A. E.; Efimov, M. A.
1
2013
On Hartwig-Nambooripad orders. Zbl 1453.06014
Guterman, Alexander; Mary, Xavier; Shteyner, Pavel
1
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
On the \(C\)-determinantal range for special classes of matrices. Zbl 1410.15045
Guterman, Alexander; Lemos, Rute; Soares, Graça
1
2016
On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006
Budrevich, 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 1353.15015
Guterman, Alexander E.; Markova, O. V.
1
2016
Maps on operators strongly preserving sharp order. Zbl 1345.15007
Efimov, M. A.; Guterman, A. E.
1
2015
Permanent versus determinant over a finite field. Zbl 1284.15004
Dolinar, G.; Guterman, A.; Kuzma, B.; Orel, M.
1
2013
On the lengths of group algebras of finite abelian groups in the modular case. Zbl 07535800
Guterman, Alexander; Khrystik, Mikhail; Markova, Olga
1
2022
Linear converters of weak, directional and strong majorizations. Zbl 1481.15020
Guterman, Alexander; Shteyner, Pavel
2
2021
Relation graphs of the sedenion algebra. Zbl 07351590
Guterman, A. E.; Zhilina, S. A.
2
2021
Length function and characteristic sequences of quadratic algebras. Zbl 1476.17002
Guterman, A. E.; Kudryavtsev, D. K.
1
2021
Converting immanants on skew-symmetric matrices. Zbl 1467.15001
Duffner, M. A.; Guterman, A. E.; Spiridonov, I. A.
1
2021
Operators preserving mutual strong Birkhoff-James orthogonality on \(\mathcal{B}(H)\). Zbl 07355211
Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana
1
2021
Symmetrized Birkhoff-James orthogonality in arbitrary normed spaces. Zbl 07358697
Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana
1
2021
Orthograph related to mutual strong Birkhoff-James orthogonality in \(C^*\)-algebras. Zbl 1466.46043
Arambašić, Ljiljana; Guterman, Alexander; Kuzma, Bojan; Rajić, Rajna; Zhilina, Svetlana
5
2020
Upper bounds for the length of non-associative algebras. Zbl 1462.17003
Guterman, A. E.; Kudryavtsev, D. K.
5
2020
Majorization for \((0,1)\)-matrices. Zbl 1427.15017
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
4
2020
Characteristic sequences of non-associative algebras. Zbl 1465.17003
Guterman, Alexander E.; Kudryavtsev, Dmitry K.
2
2020
Linear operators preserving majorization of matrix tuples. Zbl 1469.15031
Guterman, A. E.; Shteyner, P. M.
2
2020
An integral of a polynomial with multiple roots. Zbl 1450.30011
Guterman, A. E.; Danielyan, S. V.
1
2020
Double occurrence words: their graphs and matrices. Zbl 1448.05026
Guterman, A. E.; Kreines, E. M.; Ostroukhova, N. V.
1
2020
The length of a direct sum of nonassociative algebras. Zbl 1480.17001
Guterman, A. E.; Kudryavtsev, D. K.; Markova, O. V.
1
2020
Permanent Polya problem for additive surjective maps. Zbl 1481.15004
Guterman, A. E.; Spiridonov, I. A.
1
2020
Length realizability for pairs of quasi-commuting matrices. Zbl 1414.15023
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
11
2019
The lengths of group algebras of small-order groups. Zbl 1428.16026
Guterman, A. E.; Markova, O. V.
6
2019
Relationship graphs of real Cayley-Dickson algebras. Zbl 1471.17009
Guterman, A. E.; Zhilina, S. A.
5
2019
Kräuter conjecture on permanents is true. Zbl 1443.15005
Budrevich, M. V.; Guterman, A. E.
4
2019
Double centralizing theorem with respect to \(q\)-commutativity relation. Zbl 1429.15015
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Markova, Olga
3
2019
Linear preservers of the permanent on skew-symmetric matrices. Zbl 1426.15037
Budrevich, M. V.; Guterman, A. E.; Duffner, M. A.
3
2019
On Hartwig-Nambooripad orders. Zbl 1453.06014
Guterman, Alexander; Mary, Xavier; Shteyner, Pavel
1
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
A resolution of Paz’s conjecture in the presence of a nonderogatory matrix. Zbl 1382.15027
Guterman, Alexander; Laffey, Thomas; Markova, Olga; Šmigoc, Helena
16
2018
Majorization for matrix classes. Zbl 1401.15039
Dahl, Geir; Guterman, Alexander; Shteyner, Pavel
8
2018
Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields. Zbl 1392.15040
Guterman, Alexander; Johnson, Marianne; Kambites, Mark
5
2018
On the values of the permanent of \((0,1)\)-matrices. Zbl 1391.15019
Guterman, A. E.; Taranin, K. A.
4
2018
Maps preserving scrambling index. Zbl 1392.15039
Guterman, A. E.; Maksaev, A. M.
3
2018
Additive maps preserving the scrambling index are bijective. Zbl 1413.05038
Guterman, A. E.; Maksaev, A. M.
3
2018
On the Kräuter-Seifter theorem on permanent divisibility. Zbl 1417.15009
Budrevich, M. V.; Guterman, A. E.; Taranin, K. A.
2
2018
Preserving \(\lambda\)-scrambling matrices. Zbl 1396.05070
Guterman, Alexander E.; Maksaev, Artem M.
2
2018
Absence of linear permanent-determinant converters on skew-symmetric matrices. Zbl 1463.15003
Budrevich, Mikhail V.; Duffner, M. Antónia; Guterman, Alexander E.
2
2018
Maps preserving matrices of extremal scrambling index. Zbl 1391.15091
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
Partial orders based on inverses along elements. Zbl 1420.06002
Guterman, A.; Mary, X.; Shteyner, P.
1
2018
Orthogonality graphs of matrices over skew fields. Zbl 1419.05125
Guterman, A. E.; Markova, O. V.
1
2018
On the determinantal range of matrix products. Zbl 1395.15005
Guterman, A.; Soares, G.
1
2018
The lengths of the quaternion and octonion algebras. Zbl 1380.16017
Guterman, Alexander E.; Kudryavtsev, D. K.
6
2017
Converting immanants on singular symmetric matrices. Zbl 1376.15003
Duffner, M. A.; Guterman, A. E.
4
2017
Lengths of quasi-commutative pairs of matrices. Zbl 1334.15050
Guterman, A. E.; Markova, O. V.; Mehrmann, V.
6
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
On the divisibility of permanents for \((\pm1)\)-matrices. Zbl 1355.15006
Budrevich, 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 1353.15015
Guterman, Alexander E.; Markova, O. V.
1
2016
Lower bounds for Pólya’s problem on permanent. Zbl 1347.05108
Budrevich, Mikhail; Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan
1
2016
Graphs defined by orthogonality. Zbl 1343.16020
Bakhadly, B. R.; Guterman, A. E.; Markova, O. V.
8
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
14
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
12
2014
Commuting graphs and extremal centralizers. Zbl 1306.05127
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
7
2014
Immanant conversion on symmetric matrices. Zbl 1294.15008
Purificação Coelho, M.; Duffner, M. Antónia; Guterman, Alexander E.
5
2014
The algebra of semimagic matrices and its length. Zbl 1309.15026
Guterman, A. E.; Markova, O. V.; Sochnev, S. D.
2
2014
Commutativity preservers via maximal centralizers. Zbl 1340.15027
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
2
2014
Extremal matrix centralizers. Zbl 1269.15016
Dolinar, Gregor; Guterman, Alexander; Kuzma, Bojan; Oblak, Polona
10
2013
Automorphisms of \(K(H)\) with respect to the star partial order. Zbl 1295.47038
Dolinar, Gregor; Guterman, Alexander; Marovt, Janko
6
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
Permanent versus determinant over a finite field. Zbl 1284.15004
Dolinar, G.; Guterman, A.; Kuzma, B.; Orel, M.
1
2013
Tropical polyhedra are equivalent to mean payoff games. Zbl 1239.14054
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
61
2012
Tropical patterns of matrices and the Gondran-Minoux rank function. Zbl 1266.15038
Guterman, A. E.; Shitov, Ya. N.
4
2012
Permanent has less zeros than determinant over finite fields. Zbl 1280.15003
Budrevich, Mikhail V.; Guterman, Alexander E.
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
10
2011
Operators preserving primitivity for matrix pairs. Zbl 1215.15030
Beasley, 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 1288.05136
Guterman, A. È.; Lyubimov, V. K.; Raĭgorodskiĭ, A. M.; Usachev, S. A.
2
2010
Linear independence over tropical semirings and beyond. Zbl 1182.15002
Akian, Marianne; Gaubert, Stéphane; Guterman, Alexander
66
2009
Commutative matrix subalgebras and length function. Zbl 1160.13016
Guterman, A. E.; Markova, O. V.
23
2009
The characterization of operators preserving primitivity for matrix \(k\)-tuples. Zbl 1168.15010
Beasley, LeRoy B.; Guterman, Alexander E.
7
2009
Preserving zeros of a polynomial. Zbl 1183.15026
Guterman, A. E.; Kuzma, B.
7
2009
Preserving regular tournaments and term rank-1. Zbl 1168.05311
Beasley, Leroy B.; Brown, David E.; Guterman, Alexander E.
4
2009
Maps preserving zeros of matrix polynomials. Zbl 1185.15020
Guterman, A.; Kuzma, B.
2
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
Matrix invariants over semirings. Zbl 1214.15012
Guterman, Alexander E.
1
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.
3
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.
18
2005
Linear preservers of extremes of rank inequalities over semirings: the factor rank. Zbl 1127.15001
Beasley, L. B.; Guterman, A. E.
10
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
2
2005
General algebra and linear transformations preserving matrix invariants. Zbl 1073.15004
Guterman, A. E.; Mikhalev, A. V.
1
2005
Linear preservers of rank permutability. Zbl 1061.15001
Alieva, Anna A.; Guterman, Alexander E.
3
2004
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 extremes of rank inequalities over semirings. Zbl 1075.15005
Beasley, L. B.; Guterman, A. E.; Yi, S.-C.
1
2004
Rank permutability and additive operators preserving related rank product conditions. Zbl 1073.15003
Alieva, A. A.; Guterman, A. E.
1
2004
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
...and 6 more Documents
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
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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. Symmetry, Integrability and Geometry: Methods and Applications
1 Algebra & Number Theory
1 Numerical Algebra, Control and Optimization
1 Mathematical Control and Related Fields
1 International Scholarly Research Notices. Algebra
1 Open Mathematics
1 Proceedings of the American Mathematical Society. Series B
1 Journal of Siberian Federal University. 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)

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