Список публикаций

Полный список публикаций доступен http://istina.msu.ru/profile/Guterman/

  1. Characteristic sequences of non-associative algebras (with D.K. Kudryavtsev) Communications in Algebra, 48(4), 2020, 1713-1725
  2. Majorization for (0,1)-matrices (with G. Dahl and P. Shteyner) Linear Algebra and Its Applications, 585, 2020, 147-163
  3. Orthogonality for (0,-1) tropical normal matrices (with B. Bakhadly and M. J. de la Puente) Special Matrices, 8, 2020, 40-60
  4. Permanent Polya problem for additive surjective maps (with I.A. Spiridonov) Linear Algebra and Its Applications, 599, 2020, 140-155
  5. Upper bounds for the length of non-associative algebras (with D.K. Kudryavtsev) Journal of Algebra, 544, 2020, 483-497
  6. Linear transformtions preserving majorizations for matrix tuples (with P. Shteyner) Vestnik St.Petersburg University, Mathematics, 53(2), 2020, 136-144
  7. 2-words, their graphs and matrices (with E.M. Kreines and N.V. Ostroukhova) Zapiski Nauch. Sem. POMI, 482, 2019, 45-72
  8. Graph characterization of fully indecomposable nonconvertible (0,1)-matrices with minimal number of ones (with M. Budrevich, G. Dolinar Gregor, B. Kuzma) Ars Mathematica Contemporanea, 17(1), 2019, 141-151
  9. Krauter conjecture on permanents is true (with M.V. Budrevich) Journal of Combinatorial Theory - Series A, 162, 2019, 306-343
  10. Length realizability for pairs of quasi-commuting matrices (with O. Markova, V. Mehrmann) Linear Algebra and Its Applications, 568, 2019, 135-154
  11. More on geometry of Krein space C-numerical range (with R. Lemos and G. Soares) Applied Mathematics and Computation, 352, 2019, 258-269
  12. Double centralizing theorem with respect to q-commutativity relation (with Gregor Dolinar, Bojan Kuzma, Olga Markova) Journal of Algebra and its Applications, 18(1), 2019, 1-15
  13. Additive maps preserving scrambling index are bijective (with A.M. Maksaev) Acta Mathematica Hungarica, 84(1-2), 2018, 19-38
  14. Majorization for matrix classes (with Geir Dahl and Pavel Shteyner) Linear Algebra and Its Applications, 555, 2018, 201-221
  15. Extremal generalized centralizers in matrix algebras (with G. Dolinar, B. Kuzma, O. Markova) Communications in Algebra, 46(7), 2018, 3147-3154
  16. A resolution of Paz’s conjecture in the presence of a nonderogatory matrix (with T. Laffey, O. Markova, H. Smigoc) Linear Algebra and Its Applications, 543, 2018 234-250 ˇ
  17. On Hartwig–Nambooripad orders (with X. Mary, P. Shteyner) Semigroup Forum (2018). doi.org/10.1007/s00233-018-9940-7
  18. Linear isomorphisms preserving Green’s relations for matrices over anti-negative semifields (with Marianne Johnson, Mark Kambites) Linear Algebra and Its Applications, 545, 2018, 1-14
  19. Monotone linear maps of matrices over semirings (with E.M. Kreines, Q.-W. Wang) Journal of Mathematical Sciences (New York), 233(5), 2018, 675-686
  20. Maps preserving scrambling index (with Maksaev A.M.) Linear and Multilinear Algebra, 69(4), 2018, 840-851
  21. Converting immanants on singular symmetric matrices (with Duffner A.) Lobachevskii Journal of Mathematics, 38(4), 2017, 630-636
  22. The lengths of the quaternion and octonion algebras (with Kudryavtsev D.K.) Journal of Mathematical Sciences (New York), 224(6), 2017, 826-833
  23. Preserving 0 and 1 values of the scrambling index (with Maksaev A.M.) Proceedings of the Fourth Russian Finnish Symposium on Discrete Mathematics: Organized in Turku on 16.-19.5.2017, Turku Center for Computer Science, Turku. 57-59
  24. Lower bound for Polya problem on permanent (with Mikhail V. Budrevich, Gregor Dolinar, Bojan Kuzma) International Journal of Algebra and Computation, 26(6), 2016, 1237-1255
  25. Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) Linear Algebra and Its Applications, 498, 2016, 450-470
  26. Rank functions of tropical matrices (with Ya. Shitov) Linear Algebra and its Applications, 498, 2016, 326-348
  27. On the C-determinantal range for special classes of matrices (with R. Lemos and G. Soares) Applied Mathematics and Computation (New York), 275, 2016, 86-94.
  28. The realizability problem for the values of the length function of quasi-commuting matrix pairs (with Markova O.V.) Journal of Mathematical Sciences (New York), 216(6), 2016, 761-769
  29. Continuous monotone matrix maps for orders induced by the group inverse (with Efimov M.A.) Journal of Mathematical Inequalities, 10(1), 2016, 123-133
  30. Lengths of quasi-commutative pairs of matrices (with Markova O.V., Mehrmann V.) Linear Algebra and Its Applications, 498, 2016, 450-470
  31. New matrix partial order based on spectrally orthogonal matrix decomposition (with A. Herrero, N. Thome) Linear and Multilinear Algebra, 64(3), 2016, 362-374
  32. On the divisibility of permanents for (+/-1)-matrices (with Budrevich M.V., Taranin K.A.) Journal of Mathematical Sciences (New York), 216(6), 2016, 738-745
  33. The arctic rank of a Boolean matrix (with Beasley L.B., Shitov Ya. N.) Journal of Algebra, 433, 2015, 168-182
  34. Maps on operators strongly preserving sharp order (with Efimov M.A.) Operators and Matrices, 9(3), 2015, 711-731
  35. Graphs Defined by Orthogonality (with B.R. Bakhadly, O.V. Markova) Journal of Mathematical Sciences (New York), 207(5), 2015, 698-717
  36. Characterizing monotone maps on matrices and operators, Classical and Functional Analysis, Ser. 2-3, Transilvania University Press Brasov, Romania, 2015, 5-16
  37. Immanant conversion on symmetric matrices (with C. Purificacao, A. Duffner) Special Matrices, 2(1), 2014, 1-10.
  38. On the Polya conversion problem for permanents and determinants, Journal of Mathematical Sciences, 187(6), 2014, 782-786
  39. Monotone maps on diagonalizable matrices (with M.A. Efimov), Mathematical Inequalities and Applications, 17(4), 2014, 1441-1452
  40. Tropical Cramer determinants revisited (with M. Akian, S. Gaubert) American Mathematical Society, Contemporary Mathematics, 616, Amer. Math. Soc., Providence, RI, 2014, 1-45
  41. The algebra of semi-magic matrices and its length (with O.V. Markova, S.D. Sochnev) Zapiski POMI, 419, 2013, 52-77.
  42. Commuting graphs and extremal centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Ars Mathematica Contemporanea, 7(2), 2014, 453-459
  43. Commutativity preservers via matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Publicationes Mathematicae Debrecen, 84(3-4) (2014), 439-450
  44. Extremal matrix centralizers (with G. Dolinar, B. Kuzma, P. Oblak) Linear Algebra and its Applications, 438(7), 2013, 2904-2910
  45. Extremal case in Marcus-Oliveira conjecture and beyond (with R. Lemos, and G. Soares) Linear and Multilinear Algebra, 61(9), 2013, 1206-1222
  46. Permanent versus determinant over a finite field (with G. Dolinar, B. Kuzma, M. Orel) Journal of Mathematical Sciences (New-York), 193(3), 2013, 404-412
  47. Monotone maps on index one matrices (with M.A. Efimov), Zapiski POMI, 405, 2012, 67-96.
  48. On the Gibson bounds over finite fields (with M.V. Budrevich), Serdica Math. J. 2012, 38, 395-416
  49. Automorphisms of B(H) with respect to the left-star and the right-star partial order (with G. Dolinar and J. Marovt) Mathematical Inequalities and Applications, 17(2), 2014, 573-589.
  50. Students Olympiads in Algebra at the Department of Mathematics and Mechanics, MSU (with I.V. Arzhantsev, V.V. Batyrev, E.I. Bunina, E.S. Golod, M.V. Zaicev, A.I. Zobnin, A.A. Klyachko, V.T. Markov, A.A. Nechaev, A.Yu. Olshanskii, E.A. Porshnev, Yu.G. Prokhorov), Moscow, MCCME, 2012, pp. 72.
  51. Permanent has less zeros than determinant over finite fields (with M. Budrevich) American Mathematical Society, Contemporary Mathematics, 579, 2012, 33-42
  52. On the Polya permanent problem over finite fields (with G. Dolinar, B. Kuzma, M. Orel), European Journal of Combinatorics, 32, 2011, 116-132.
  53. Барьеры Гибсона для проблемы Полиа (совместно с Г. Долинаром и Б. Кузьмой), Фундаментальная и прикладная математика, 16(8), 2010, 73-86
  54. Operators preserving primitivity for matrix pairs (with L.B. Beasley), Matrix Methods: Theory, Algorithms, Applications, Word Scientific Publishing, 2010, 2-20
  55. Additive Frobenius endomorphisms for Sylvester and related bounds (with Graca Soares), Contributions to General Algebra, Verlag Johannes Heyn, 19, 2010, 91-102
  56. The correspondence between tropical convexity and mean payoff games (with Marianne Akian, Stephane Gaubert), Mathematical Theory of Networks and Systems, 2010, 1295-1302
  57. О числах независимости графов расстояний с вершинами в {-1,0,1}^n: оценки, гипотезы и приложения к задачам Нелсона-Эрдеша-Хадвигера и Борсука (совместно с В. К. Любимовым, А. М. Райгородским, С. А. Усачевым), Современная математика и ее приложения, 65, 2009, 82-100.
  58. Frobenius endomorphisms of matrix spaces and their applications, Operator Theory and Operator Algebras, 2009, 33-42.
  59. О числах независимости графов расстояний с вершинами в {-1,0,1}^n (совместно с В. К. Любимовым, А. М. Райгородским, С. А. Усачевым), Матем. заметки, 86(5), 2009, 794–796.
  60. Фробениусовы эндоморфизмы пространств матриц (совместно с А.В. Михалевым), Современные проблемы математики и механики, 4(3), 2009, 71-105.
  61. Matrix ranks and linear independence over tropical semirings (with M. Akian, S. Gaubert), American Mathematical Society, Contemporary Mathematics, 495, 2009, 1-33.
  62. Preserving zeros of a polynomial (with B. Kuzma), Communications in Algebra, 37(11), 2009, 3801-3827.
  63. Matrix invariants over semirings, Handbook of Algebra, Elseiver, 6, 2009, 3-33.
  64. The characterization of operators preserving primitivity for matrix $k$-tuples (with L. B. Beasley), Linear Algebra and its Applications, 430, 2009, 1762-1777.
  65. Commutative matrix subalgebras and length function (with O. V. Markova), Linear Algebra and its Applications, 430, 2009, 1790-1805.
  66. Preserving regular tournaments and term rank-1 (with L.B. Beasley, D. Brown), Linear Algebra and its Applications, 431, 2009, 926-936
  67. Преобразования, сохраняющие нули матричных многочленов (совместно с Б. Кузьмой), Доклады академии наук 427(3), 2009, 300-302.
  68. Operators preserving primitivity for matrix pairs (with L. B. Beasley), Matrix Methods: Theory, Algorithms, Applications, Word Scientific Publishing (2008) 2-20.
  69. On linear operators preserving the set of positive polynomials (with B. Shapiro), Journal of Fixed Point Theory and Applications, 3 (2), 2008, 411-429.
  70. Характеризация отображений, строго сохраняющих нули матричных многочленов (совместно с Б. Кузьмой), Успехи мат. наук, 63(5), 2008, 147-148.
  71. Rank and determinant functions for semirings, London Mathematical Society Lecture Notes, 347, 2007, 1-33.
  72. Transformations preserving matrix invariants over semirings, Idempotent and tropical mathematics and problems of mathematical physics, Москва, Изд-во МЦНМО, 1, 2007, 84-90
  73. Монотонные аддитивные отображения матриц, Математические заметки, 81 (5), 2007, 681–692.
  74. Монотонные отображения матриц, заданные групповой обратной, и одновременная диагонализуемость (совместно с И. И. Богдановым), Математический сборник, 198 (1), 2007, 3-20
  75. Идемпотентные матрицы и мажорирование (совместно с Л.-Б. Бисли, К-Т. Кангом, С.-З. Сонгом), Фундаментальная и прикладная математика, 13(1), 2007, 11-29.
  76. Frobenius and Dieudonne theorems over semirings (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear and Multilinear Algebra, 55(1), 2007, 19-34
  77. Linear preservers of extremes of rank inequalities over semirings: the row and column ranks (with L. B. Beasley, Y.-B. Jun, S.-Z. Song), Linear Algebra Appl., 413, 2006, 495-509
  78. Rank-permutable additive mappings (with A. A. Alieva, B. Kuzma), Linear Algebra Appl., 414, 2006, 607-616
  79. Linear preservers for Sylvester and Frobenius bounds on matrix rank (with L. B. Beasley, C. L. Neal), Rocky Mountain Journal of Mathematics, 86(1), 2006, 67-80
  80. Monotone linear transformations on matrices are invertible (with A. A. Alieva), Communications in Algebra, 33, 2005, 3335-3352
  81. Linear preservers of zeros of matrix polynomials (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications, 401, 2005, 325-340
  82. Rank inequalities over semirings (with L. B. Beasley), Journal of Korean Math. Soc., 42(2), 2005, 223-241
  83. Факторизационный ранг для неотрицательных матриц (совместно с О. А. Вайсман), Чебышевский сборник, 6(4), 2005, 64-67
  84. LP-проблемы для ранговых неравенств над полукольцами: факторизационный ранг (совместно с Л. Б. Бисли), Современная математика и приложения. Алгебра, 13, 2004, 53-70. Перевод: Linear Preservers of Extremes of Rank Inequalities over Semirings: The Factor Rank, J. of Math. Sciences, 131(5), 2005, 5919-5938
  85. Linear Transformations Preserving the Grassmannian over M_n(Z+) (with L. B. Beasley, S.-G. Lee, S.-Z. Song), Linear Algebra and its Applications, 393, 2004, 39-46
  86. LP-проблемы для ранговых неравенств над полукольцами: граничные ранги (совместно с Л. Б. Бисли и С.-Ч. Йи), Фундаментальная и прикладная математика, 10(2), 2004, 3-21
  87. Линейные отображения, сохраняющие матричные инварианты (совместно с А.В. Михалевым),Математика.Механика.Информатика.10 лет РФФИ. Физматлит, 2004, 501(3),165-186
  88. Linear preservers of rank permutability (with A.A. Alieva), Linear Algebra and its Applications, 384, 2004, 97-108
  89. Перестановочность ранга и аддитивные операторы, сохраняющие некоторые условия на ранг произведения (совместно с А. А. Алиевой), Фундаментальная и прикладная математика, 10(4), 2004, 3-14
  90. Линейные отображения, сохраняющие коммутативность ранга (совместно с А. А. Алиевой), Вестник Московского университета. Сер. 1. Математика. Механика, 6, 2003, 11-17
  91. Преобразования неотрицательных целочисленных матриц, сохраняющие определитель, Успехи мат. наук. 58(6), 2003, 147-148.
  92. Monotone Matrix Maps Preserve Non-Maximal Rank, Combinatorial Methods in Polynomial Identities, Lecture Notes in Pure and Applied Mathematics, Marcel Dekker, 2003, 311-328
  93. Общая алгебра и линейные отображения, сохраняющие матричные инварианты (совместно с А.В. Михалевым), Фундаментальная и прикладная математика, 9(1), 2003, 83-101
  94. Линейные отображения, сохраняющие определитель Дьедонне над произвольным телом. Успехи математических наук, 57(4), 2002, 171-172
  95. Тождества матриц, близких к треугольным. Математический сборник, 192(6), 2001, 3-15.
  96. Градуированные локальные кольца. Фундаментальная и прикладная математика, 6(3), 2001, 753-756.
  97. Linear preservers for matrix inequalities and partial orderings, Linear Algebra and its Applications, 331, 2001, 75-87
  98. Frobenius type theorems in the noncommutative case. Linear and Multilinear Algebra, 48(4), 2001, 293-312.
  99. Linear preservers for Drazin star partial order. Communications in Algebra, 29(9), 2001, 3905-3917.
  100. Линейные отображения, сохраняющие супер-ранг. Математические методы и приложения. МГСУ. VIII, 2001, 100-104.
  101. Some general techniques on Linear Preserver Problems (with C.-K. Li and P. Semrl), Linear Algebra and its Applications, 315, 2000, 61-81
  102. Singularity preservers over local domains. Journal of Mathematical Sciences. 2000. V. 102, N. 6. P. 4591-4597.
  103. On the Growth of Identities (with A. Regev), Algebra. Berlin, New York: Walter de Gruyter. 2000. P. 319-331
  104. On determinant preservers over noncommutative Principal Ideal Domains (with A.V. Mikhalev), Lie Algebras, Rings, and Related Topics. Hong Kong: Springer-Verlag. 2000. P. 49-60
  105. Ph. Hall type theorems for modules (with E. Kreines), Universal Algebra and its Applications. Volgograd, 2000, 60-72
  106. A note on linear preservers of a certain matrix partial order, Formal Power Series and Algebraic Combinatorics. Berlin: Shpringer-Verlag. 2000, 441-446.
  107. О применении теории моделей к классификации линейных отображений, сохраняющих матричные инварианты. Математические методы и приложения. МГСУ. 2000. VII. С. 53-57.
  108. Теорема Ф. Холла о системе различных представителей для модулей (совместно с Е. Крейнес), Фундаментальная и прикладная математика, 5(1), 1999, 119-130
  109. Тождества и коразмерности одной подалгебры алгебры треугольных матриц, Математические методы и приложения. МГСУ. 1999. VI. С. 79-82.
  110. Линейные отображения, сохраняющие определитель Аджамагбо, Математические методы и приложения. МГСУ. 1999. Т. VI. С. 67-72
  111. Результаты фробениусовского типа для матриц над телами (совместно с Е.М. Крейнес и А.В. Михалевым), Математические методы и приложения. МГСУ. 1998. Т. V. С. 119-132
  112. Frobenius type theorems (with A.V. Mikhalev), Proceedings of Workshop on General Algebra and Discrete Mathematics, Germany, Potsdam, 1998. Shaker Verlag Aachen, 1999, 102-112