RUS  ENG
Full version
PEOPLE

Mikhalev Aleksandr Vasil'evich

Publications in Math-Net.Ru

  1. Algebras with single defining relation

    Fundam. Prikl. Mat., 24:3 (2023),  139–152
  2. Topological Jacobson radicals. III

    Fundam. Prikl. Mat., 24:3 (2023),  39–103
  3. Elementary equivalence of stable linear groups over fields of characteristic $2$

    Fundam. Prikl. Mat., 24:3 (2023),  11–21
  4. On factor-rings of complete topological rings

    Fundam. Prikl. Mat., 24:3 (2023),  3–9
  5. Matrix representations of endomorphism rings for torsion-free abelian groups

    Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 10:3 (2023),  487–498
  6. Interpolation pseudo-ordered algebras over partially ordered fields

    Fundam. Prikl. Mat., 24:2 (2022),  181–196
  7. Interpolation pseudo-ordered rings

    Fundam. Prikl. Mat., 24:1 (2022),  177–191
  8. Influence of the Baer–Kaplansky theorem on the development of the theory of groups, rings, and modules

    Fundam. Prikl. Mat., 24:1 (2022),  31–123
  9. The projective geometry over partially ordered skew fields, II

    Chebyshevskii Sb., 22:1 (2021),  213–224
  10. Interpolation ordered algebraic systems

    Intelligent systems. Theory and applications, 25:4 (2021),  176–180
  11. Graded quasi-Frobenius rings and modules

    Intelligent systems. Theory and applications, 25:4 (2021),  66–70
  12. On algebraic automata theory

    Intelligent systems. Theory and applications, 25:4 (2021),  45–51
  13. Averaging methods in big data clustering problems

    Intelligent systems. Theory and applications, 25:4 (2021),  12–18
  14. Prime radicals of directed pseudo-ordered algebras over directed fields

    Fundam. Prikl. Mat., 23:3 (2020),  215–230
  15. Acts over semigroups

    Fundam. Prikl. Mat., 23:3 (2020),  141–199
  16. Geometric distortion correction of images received from biometric fingerprint devices

    Fundam. Prikl. Mat., 23:3 (2020),  75–81
  17. The projective geometry over partially ordered skew fields

    Fundam. Prikl. Mat., 23:2 (2020),  231–245
  18. Non-associative structures in homomorphic encryption

    Fundam. Prikl. Mat., 23:2 (2020),  209–215
  19. Clustering models

    Fundam. Prikl. Mat., 23:2 (2020),  17–36
  20. Prime radicals of directed pseudo-ordered rings

    Fundam. Prikl. Mat., 22:4 (2019),  147–166
  21. Nonassociative algebraic structures in cryptography and coding

    Fundam. Prikl. Mat., 21:4 (2016),  99–124
  22. Applied homomorphic cryptography: examples

    Fundam. Prikl. Mat., 21:3 (2016),  25–38
  23. Semirings of continuous functions

    Fundam. Prikl. Mat., 21:2 (2016),  53–131
  24. Primitive and almost primitive elements of Schreier varieties

    Fundam. Prikl. Mat., 21:2 (2016),  3–35
  25. Elementary equivalence of stable linear groups over local commutative rings with $1/2$

    Fundam. Prikl. Mat., 21:1 (2016),  65–78
  26. Groups of quotients of semigroups of invertible nonnegative matrices over skewfields

    Fundam. Prikl. Mat., 21:1 (2016),  57–64
  27. Cryptographic algorithms on groups and algebras

    Fundam. Prikl. Mat., 20:1 (2015),  205–222
  28. Postclassical families of functions proper for descriptive and prescriptive spaces

    Fundam. Prikl. Mat., 19:6 (2014),  77–113
  29. Descriptive spaces and proper classes of functions

    Fundam. Prikl. Mat., 19:2 (2014),  51–107
  30. Prime radical of loops and $\Omega$-loops. I

    Fundam. Prikl. Mat., 19:2 (2014),  25–42
  31. Cyclic types of families of polylinear recurrent sequences and generators of pseudorandom numbers

    Mat. Vopr. Kriptogr., 5:1 (2014),  95–125
  32. Quotient rings of graded associative rings. I

    Fundam. Prikl. Mat., 17:2 (2012),  3–74
  33. The characterization of integrals with respect to arbitrary Radon measures by the boundedness indices

    Fundam. Prikl. Mat., 17:1 (2012),  107–126
  34. The topological Jacobson radical of rings. II

    Fundam. Prikl. Mat., 17:1 (2012),  53–64
  35. Quasigroups and rings in coding theory and cryptography

    Prikl. Diskr. Mat., 2012, no. 4(18),  31–52
  36. Characterization of Radon integrals as linear functionals

    Fundam. Prikl. Mat., 16:8 (2010),  87–161
  37. The topological Jacobson radical of rings. I

    Fundam. Prikl. Mat., 16:8 (2010),  49–68
  38. Isomorphisms of general linear groups over associative rings graded by an Abelian group

    Fundam. Prikl. Mat., 16:3 (2010),  5–40
  39. A construction of algebraic cryptosystem over the quasigroup ring

    Mat. Vopr. Kriptogr., 1:4 (2010),  23–32
  40. The Riesz–Radon–Fréchet problem of characterization of integrals

    Uspekhi Mat. Nauk, 65:4(394) (2010),  153–178
  41. Universal central extensions of Lie conformal algebras, Part 2: Supercase

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2010, no. 1,  36–41
  42. Primitive Elements of Free Commutative Non-associative Algebras and Free Anti-commutative Non-associative Algebras

    Vestn. Novosib. Gos. Univ., Ser. Mat. Mekh. Inform., 10:4 (2010),  105–124
  43. Isomorphisms and anti-isomorphisms of endomorphism rings of graded modules that are close to free ones

    Dokl. Akad. Nauk, 425:5 (2009),  583–586
  44. The Conference “Intelligent Systems and Computer Science”

    Fundam. Prikl. Mat., 15:3 (2009),  3
  45. Model-theoretic properties of free, projective, and flat $S$-acts

    Fundam. Prikl. Mat., 14:7 (2008),  63–110
  46. Anti-isomorphisms of graded endomorphism rings of graded modules close to free ones

    Fundam. Prikl. Mat., 14:7 (2008),  23–36
  47. Jacobi's bound for systems of algebraic differential equations

    Fundam. Prikl. Mat., 14:4 (2008),  151–166
  48. Characterization of the space of Riemann integrable functions by means of cuts of the space of continuous functions. II

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2008, no. 5,  11–20
  49. Primitive elements of free nonassociative algebras

    Fundam. Prikl. Mat., 13:5 (2007),  171–192
  50. Isomorphisms of graded endomorphism rings of graded modules close to free ones

    Fundam. Prikl. Mat., 13:5 (2007),  3–18
  51. Stochastic matrices and the assessment of the vulnerability of automated systems

    Fundam. Prikl. Mat., 13:1 (2007),  61–99
  52. Optimal use of wavelet components

    Uspekhi Mat. Nauk, 62:4(376) (2007),  171–172
  53. Lifting of automorphisms and derivations of conformal Lie superalgebras to their central extensions

    Tr. Semim. im. I. G. Petrovskogo, 26 (2007),  241–254
  54. Characterization of the space of Riemann integrable functions by means of cuts of the space of continuous functions. I

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2007, no. 5,  6–13
  55. Elementary properties of categories of acts over monoids

    Algebra Logika, 45:6 (2006),  687–709
  56. Prime radicals of $AO$-groups

    Fundam. Prikl. Mat., 12:8 (2006),  197–206
  57. Steinberg conformal superalgebras

    Fundam. Prikl. Mat., 12:8 (2006),  189–196
  58. The prime radical of $pl$-groups

    Fundam. Prikl. Mat., 12:2 (2006),  193–199
  59. Semirings of cyclic types

    Fundam. Prikl. Mat., 12:2 (2006),  175–192
  60. Prime radicals of graded $\Omega$-groups

    Fundam. Prikl. Mat., 12:2 (2006),  159–174
  61. Elementary equivalence of the semigroup of invertible matrices with nonnegative elements

    Fundam. Prikl. Mat., 12:2 (2006),  39–53
  62. Steinberg unitary Lie conformal algebras

    Fundam. Prikl. Mat., 11:2 (2005),  135–155
  63. Automorphisms of the semigroup of invertible matrices with nonnegative elements

    Fundam. Prikl. Mat., 11:2 (2005),  3–23
  64. Steinberg conformal algebras

    Mat. Sb., 196:5 (2005),  31–52
  65. Universal central extensions of conformal Lie algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 1,  26–31
  66. Model-theoretic properties of regular polygons

    Fundam. Prikl. Mat., 10:4 (2004),  107–157
  67. Topological prime radical of a group

    Fundam. Prikl. Mat., 10:4 (2004),  15–22
  68. A topological prime quasiradical

    Fundam. Prikl. Mat., 10:3 (2004),  11–22
  69. Elementary equivalence of endomorphism rings of Abelian $p$-groups

    Fundam. Prikl. Mat., 10:2 (2004),  135–224
  70. Elementary equivalence of categories of modules over rings, endomorphism rings, and automorphism groups of modules

    Fundam. Prikl. Mat., 10:2 (2004),  51–134
  71. Functional identities in rings and their applications

    Uspekhi Mat. Nauk, 59:3(357) (2004),  3–30
  72. The central closure of the simple “strange” Lie superalgebras extended over a commutative algebra

    Fundam. Prikl. Mat., 9:3 (2003),  125–131
  73. General algebra and linear transformations preserving matrix invariants

    Fundam. Prikl. Mat., 9:1 (2003),  83–101
  74. Density theorems for graded rings

    Fundam. Prikl. Mat., 9:1 (2003),  27–49
  75. On the sum of locally solvable ideals of Lie algebras

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 3,  29–32
  76. The problem of general Radon representation for an arbitrary Hausdorff space. II

    Izv. RAN. Ser. Mat., 66:6 (2002),  3–18
  77. Connections between the integral Radonean representations for locally compact and Hausdorff spaces

    Fundam. Prikl. Mat., 7:1 (2001),  33–46
  78. Algebraic description of rings of continuous functions

    Uspekhi Mat. Nauk, 56:1(337) (2001),  163–164
  79. Elementary equivalence of linear and algebraic groups

    Fundam. Prikl. Mat., 6:3 (2000),  707–722
  80. A two-sorted theory of classes and sets, admitting sets of propositional formulas

    Fundam. Prikl. Mat., 5:2 (1999),  417–435
  81. The problem of general Radon representation for an arbitrary Hausdorff space

    Izv. RAN. Ser. Mat., 63:5 (1999),  37–82
  82. Codes and recurrences over finite rings and modules

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1999, no. 5,  18–31
  83. Prime radical of $\Omega$-groups and $\Omega$-$l$-groups

    Fundam. Prikl. Mat., 4:4 (1998),  1405–1413
  84. On a conception of a mathematical system

    Fundam. Prikl. Mat., 4:3 (1998),  927–935
  85. Integral representation for Radon measures on arbitrary Hausdorf space

    Fundam. Prikl. Mat., 3:4 (1997),  1135–1172
  86. Radon problem for regular measures on an arbitrary Hausdorf space

    Fundam. Prikl. Mat., 3:3 (1997),  801–808
  87. Generalized polynomial identities and rings that are sums of two subrings

    Algebra Logika, 34:1 (1995),  3–11
  88. Infinite Abelian groups: methods and results

    Fundam. Prikl. Mat., 1:2 (1995),  319–375
  89. Logical aspects of the theory of rings and modules

    Fundam. Prikl. Mat., 1:1 (1995),  1–62
  90. Anti-isomorphism of endomorphism rings of modules and Morita anti-equivalence

    Uspekhi Mat. Nauk, 50:1(301) (1995),  187–188
  91. Questions on the possibility of extending the topologies of a ring and of a semigroup to their semigroup ring

    Trudy Mat. Inst. Steklov., 193 (1992),  22–27
  92. Type and dimension of finitely generated vector $G$-spaces

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1991, no. 4,  72–74
  93. Extension of multiplicative isomorphisms of semiprime rings to their orthogonal completions

    Trudy Mat. Inst. Steklov., 183 (1990),  145–148
  94. Prime radical of lattice-ordered groups

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1990, no. 2,  84–86
  95. Varieties of topological $\Omega$-groups

    Izv. Vyssh. Uchebn. Zaved. Mat., 1989, no. 6,  40–42
  96. Compact groups and their group rings

    Mat. Zametki, 46:6 (1989),  3–9
  97. Isomorphisms of endomorphism rings of modules that are close to free

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1989, no. 2,  20–27
  98. Invariance of minimal prime ideals of nonassociative rings by multiplicative isomorphisms

    Zap. Nauchn. Sem. LOMI, 175 (1989),  90–92
  99. Multiplicative classification of associative rings

    Mat. Sb. (N.S.), 135(177):2 (1988),  210–224
  100. Differential and difference algebra

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 25 (1987),  67–139
  101. A primality criterion for nondegenerate alternative and Jordan algebras

    Tr. Mosk. Mat. Obs., 50 (1987),  130–137
  102. Rich subgroups of unitary groups over skew fields

    Zap. Nauchn. Sem. LOMI, 160 (1987),  193–200
  103. Orthogonally complete many-sorted algebraic systems

    Dokl. Akad. Nauk SSSR, 289:6 (1986),  1304–1308
  104. Orthogonal completeness and algebraic systems

    Uspekhi Mat. Nauk, 40:6(246) (1985),  79–115
  105. On the problem of extending the topologies of a group and a ring to their group ring

    Uspekhi Mat. Nauk, 40:4(244) (1985),  135–136
  106. Elementary subgroup of a unitary group over a PI-ring

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1985, no. 1,  30–36
  107. Associative rings

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 22 (1984),  3–115
  108. Necessary conditions for the extension of a group and a field topology to their group algebra

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1984, no. 6,  58–61
  109. Rings of endomorphisms of modules and lattices of submodules

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 21 (1983),  183–254
  110. Sufficient conditions for extension of topologies of a group and a ring to their group ring

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 5,  25–33
  111. Isomorphisms of the general linear group over an associative ring

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1983, no. 3,  61–72
  112. Isomorphism of unitary groups over associative rings

    Zap. Nauchn. Sem. LOMI, 132 (1983),  97–109
  113. On varieties of algebras with semigroup identity

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 2,  8–11
  114. Generalized group identities in classical groups

    Zap. Nauchn. Sem. LOMI, 114 (1982),  96–119
  115. Modules

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 19 (1981),  31–134
  116. Topologies on a ring of polynomials, and a topological analogue of the Hilbert basis theorem

    Mat. Sb. (N.S.), 116(158):4(12) (1981),  467–482
  117. Generalized group identities in the classical groups

    Uspekhi Mat. Nauk, 35:6(216) (1980),  155–156
  118. Generalized identities and semiprime rings with involution

    Uspekhi Mat. Nauk, 35:1(211) (1980),  222
  119. Modules

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 14 (1976),  57–190
  120. Free $f$-modules

    Mat. Zametki, 17:6 (1975),  873–885
  121. Endomorphism rings of modules, and lattices of submodules

    Itogi Nauki i Tekhniki. Ser. Algebra. Topol. Geom., 12 (1974),  51–76
  122. Group rings

    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat., 2 (1973),  5–118
  123. Free ordered modules

    Mat. Zametki, 12:4 (1972),  477–487
  124. Projective and free ordered modules

    Mat. Zametki, 11:1 (1972),  41–52
  125. The normal subgroups of the orthogonal group over a ring with involution

    Algebra Logika, 9:6 (1970),  629–632
  126. The unitary Steinberg group over a ring with involution

    Algebra Logika, 9:5 (1970),  510–519
  127. The orthogonal Steinberg group over a ring with involution

    Algebra Logika, 9:2 (1970),  145–166
  128. Modules

    Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1968, 1970,  57–100
  129. Automorphisms and anti-automorphisms of a semigroup of invertible matrices with nonnegative elements

    Mat. Sb. (N.S.), 81(123):4 (1970),  600–609
  130. Isomorphisms of the endomorphism semigroups op modules. II

    Algebra i Logika. Sem., 6:2 (1967),  35–47
  131. Isomorphisms of semigroups of endomorphisms of modules

    Algebra i Logika. Sem., 5:5 (1966),  59–67
  132. Special structure spaces of rings

    Dokl. Akad. Nauk SSSR, 150:2 (1963),  259–261
  133. An isomorphism of rings of continuous endomorphisms

    Sibirsk. Mat. Zh., 4:1 (1963),  177–186

  134. To the 55th anniversary of Professor M. V. Shamolin

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 210 (2022),  3–5
  135. Victor Nikolaevich Latyshev (obituary)

    Uspekhi Mat. Nauk, 77:1(463) (2022),  177–182
  136. In memory of Vladimir Konstantinovich Kartashov

    Chebyshevskii Sb., 22:5 (2021),  419–421
  137. In memory of Vyacheslav Alexandrovich Artamonov

    Chebyshevskii Sb., 22:5 (2021),  417–418
  138. Alexander Yuryevich Olshanskii (to the 75th anniversary)

    Chebyshevskii Sb., 22:2 (2021),  347–365
  139. Ualbai Utmakhanbetovich Umirbaev (on his 60th birthday)

    Uspekhi Mat. Nauk, 76:2(458) (2021),  187–192
  140. Viktor Timofeevich Markov (21.06.1948—15.07.2019)

    Fundam. Prikl. Mat., 23:2 (2020),  3–16
  141. To the memory of Igor Aleksandrovich Kruglov

    Mat. Vopr. Kriptogr., 11:4 (2020),  5–6
  142. Alexander Alexandrovich Fomin (to the 70th anniversary)

    Chebyshevskii Sb., 20:2 (2019),  579–582
  143. Evgenii Solomonovich Golod (obituary)

    Uspekhi Mat. Nauk, 74:5(449) (2019),  163–169
  144. Vasilii Vasilievich Zhikov

    Tr. Semim. im. I. G. Petrovskogo, 32 (2019),  5–7
  145. Anniversary of Professor M. V. Shamolin

    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 134 (2017),  3–5
  146. Efim Isaakovich Zelmanov is 60 years old

    Uspekhi Mat. Nauk, 71:4(430) (2016),  193–199
  147. Alexandr Alexandrovich Nechaev (7.8.1945–14.11.2014)

    Fundam. Prikl. Mat., 20:1 (2015),  3–7
  148. 85 years since the birth of Alexei Ivanovich Kostrikin

    Chebyshevskii Sb., 15:3 (2014),  141–145
  149. A word about L. A. Skornyakov — man, scientist and teacher (memoirs of the colleagues and students)

    Chebyshevskii Sb., 15:2 (2014),  143–147
  150. V. L. Kurakin (13.05.1966 – 14.08.2010)

    Mat. Vopr. Kriptogr., 2:3 (2011),  111–112
  151. Konstantin Igorevich Beidar (1951–2004)

    Fundam. Prikl. Mat., 12:2 (2006),  3–15
  152. Vladimir Mikhailovich Tikhomirov (on his 70th birthday)

    Uspekhi Mat. Nauk, 61:1(367) (2006),  187–190
  153. Памяти Константина Алексеевича Рыбникова (1913–2004)

    Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2005, no. 4,  67–69
  154. Aleksei Ivanovich Kostrikin (obituary)

    Uspekhi Mat. Nauk, 56:3(339) (2001),  143–145
  155. Lazar' Matveevich Gluskin (obituary)

    Uspekhi Mat. Nauk, 42:4(256) (1987),  113–114
  156. School-Seminar “Group Presentations and Their Applications”

    Uspekhi Mat. Nauk, 28:4(172) (1973),  235–236

© Steklov Math. Inst. of RAS, 2025