Guterman Alexander Èmilevich

Publications in Math-Net.Ru

1. On linear transformations preserving cyclicity index of nonnegative matrices
   
   Fundam. Prikl. Mat., 25:1 (2024),  67–82
2. Frobenius and Sylvester inequalities for the chainable rank
   
   Zap. Nauchn. Sem. POMI, 534 (2024),  35–56
3. Geometry of varieties of mutually orthogonal matrices
   
   Zap. Nauchn. Sem. POMI, 534 (2024),  5–34
4. Linear transformations preserving minimal values of the cyclicity index of tropical matrices
   
   Zap. Nauchn. Sem. POMI, 524 (2023),  18–35
5. Normal tropical $(0,-1)$-matrices and their orthogonal sets
   
   Fundam. Prikl. Mat., 24:1 (2022),  5–30
6. Values of the permanent function on multidimensional $(0,1)$-matrices
   
   Sibirsk. Mat. Zh., 63:2 (2022),  316–333
7. An upper bound for the chainable index
   
   Zap. Nauchn. Sem. POMI, 514 (2022),  5–17
8. Transformations of assembly number for 4-regular graphs
   
   Zap. Nauchn. Sem. POMI, 504 (2021),  21–46
9. Cayley–Dickson split-algebras: Doubly alternative zero divisors and relation graphs
   
   Fundam. Prikl. Mat., 23:3 (2020),  95–129
10. Linear operators preserving majorization of matrix tuples
    
    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 7:2 (2020),  217–229
11. Relation graphs of the sedenion algebra
    
    Zap. Nauchn. Sem. POMI, 496 (2020),  61–86
12. Linear immanant converters on skew-symmetric matrices of order $4$
    
    Zap. Nauchn. Sem. POMI, 496 (2020),  43–60
13. Length of a direct sum of nonassociative algebras
    
    Zap. Nauchn. Sem. POMI, 482 (2019),  73–86
14. 2-words: their graphs and matrices
    
    Zap. Nauchn. Sem. POMI, 482 (2019),  45–72
15. On the integral of a polynomial with multiple roots
    
    Zap. Nauchn. Sem. POMI, 482 (2019),  28–44
16. The length of group algebras of small-order groups
    
    Zap. Nauchn. Sem. POMI, 472 (2018),  76–87
17. Relation graphs of real Cayley–Dickson algebras
    
    Zap. Nauchn. Sem. POMI, 472 (2018),  44–75
18. Permanent preserving linear transformations of skew-symmetric matrices
    
    Zap. Nauchn. Sem. POMI, 472 (2018),  31–43
19. On the determinantal range of matrix products
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  94–111
20. Orthogonality graphs of matrices over skew fields
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  81–93
21. Partial orders based on inverses along elements
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  58–80
22. On the Kräuter–Seifter theorem on permanent divisibility
    
    Zap. Nauchn. Sem. POMI, 463 (2017),  25–35
23. Monotone linear transformations on matrices over semirings
    
    Fundam. Prikl. Mat., 21:1 (2016),  105–122
24. The lengths of the quaternion and octotion algebras
    
    Zap. Nauchn. Sem. POMI, 453 (2016),  22–32
25. The realizability problem for values of the length function for quasi-commuting matrix pairs
    
    Zap. Nauchn. Sem. POMI, 439 (2015),  59–73
26. On divisibility for the permanents of $(\pm1)$-matrices
    
    Zap. Nauchn. Sem. POMI, 439 (2015),  26–37
27. Graphs defined by orthogonality
    
    Zap. Nauchn. Sem. POMI, 428 (2014),  49–80
28. Algebra of semimagic matrices and its length
    
    Zap. Nauchn. Sem. POMI, 419 (2013),  52–76
29. Pólya Convertibility Problem for Symmetric Matrices
    
    Mat. Zametki, 92:5 (2012),  684–698
30. Monotone maps on matrices of index one
    
    Zap. Nauchn. Sem. POMI, 405 (2012),  67–96
31. On the Gibson barrier for the Pólya problem
    
    Fundam. Prikl. Mat., 16:8 (2010),  73–86
32. On the Independence Number of Distance Graphs with Vertices in $\{-1,0,1\}^n$
    
    Mat. Zametki, 86:5 (2009),  794–796
33. On transformations strongly preserving the zeros of matrix polynomials
    
    Uspekhi Mat. Nauk, 63:5(383) (2008),  185–186
34. Idempotent Boolean matrices and majorization
    
    Fundam. Prikl. Mat., 13:1 (2007),  11–29
35. Monotone Additive Matrix Transformations
    
    Mat. Zametki, 81:5 (2007),  681–692
36. Monotone matrix transformations defined by the group inverse and simultaneous diagonalizability
    
    Mat. Sb., 198:1 (2007),  3–20
37. Rank permutability and additive operators preserving related rank product conditions
    
    Fundam. Prikl. Mat., 10:4 (2004),  3–14
38. Linear preservers of extremes of rank inequalities over semirings: term-rank and zero-term-rank
    
    Fundam. Prikl. Mat., 10:2 (2004),  3–21
39. General algebra and linear transformations preserving matrix invariants
    
    Fundam. Prikl. Mat., 9:1 (2003),  83–101
40. Transformations of non-negative integer-valued matrices that preserve the determinant
    
    Uspekhi Mat. Nauk, 58:6(354) (2003),  147–148
41. Linear mappings preserving rank commutativity
    
    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 6,  11–17
42. Linear maps preserving the Dieudonné determinant over an arbitrary skew field
    
    Uspekhi Mat. Nauk, 57:4(346) (2002),  171–172
43. Identities of nearly triangular matrices
    
    Mat. Sb., 192:6 (2001),  3–14
44. Graded local rings
    
    Fundam. Prikl. Mat., 6:3 (2000),  753–756
45. Ph. Hall's theorem on transversals for modules
    
    Fundam. Prikl. Mat., 5:1 (1999),  119–130


46. Victor Nikolaevich Latyshev (obituary)
    
    Uspekhi Mat. Nauk, 77:1(463) (2022),  177–182
47. Alexander Yuryevich Olshanskii (to the 75th anniversary)
    
    Chebyshevskii Sb., 22:2 (2021),  347–365
48. Viktor Timofeevich Markov (21.06.1948—15.07.2019)
    
    Fundam. Prikl. Mat., 23:2 (2020),  3–16