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Generalov Aleksandr Ivanovich

Publications in Math-Net.Ru

  1. $bv$-structure on the Hochschild cohomology algebra of local algebras of semidihedral type

    Chebyshevskii Sb., 26:4 (2025),  88–97
  2. Relative homological algebra in preabelian categories and Freyd category

    Zap. Nauchn. Sem. POMI, 547 (2025),  32–48
  3. Hochschild cohomology of algebras of dihedral type. XII. Cohomology algebra for a family of exceptional algebras with two simple modules

    Zap. Nauchn. Sem. POMI, 538 (2024),  5–44
  4. Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras

    Zap. Nauchn. Sem. POMI, 531 (2024),  71–100
  5. $BV$-structure on Hochschild cohomology for exceptional local algebras of quaternion type. The case of an even parameter

    Algebra i Analiz, 35:4 (2023),  79–110
  6. Hochschild cohomology for algebras of dihedral type. X. Exceptional local algebras

    Zap. Nauchn. Sem. POMI, 522 (2023),  60–83
  7. Hochschild cohomology of algebras of dihedral type. IX. The Hochschild cohomology algebra for the family $D(3\mathcal K)$ in characteristic different from $2$

    Zap. Nauchn. Sem. POMI, 513 (2022),  30–56
  8. On an injective structure in a homotopy category

    Zap. Nauchn. Sem. POMI, 513 (2022),  22–29
  9. Hochschild cohomology of algebras of semidihedral type, X. Cohomology algebra for exceptional local algebras

    Zap. Nauchn. Sem. POMI, 500 (2021),  51–111
  10. A note on generalized semicommutative rings

    Zap. Nauchn. Sem. POMI, 492 (2020),  69–74
  11. Algebraic Mayer–Vietoris theorem over preabelian categories

    Zap. Nauchn. Sem. POMI, 492 (2020),  61–68
  12. On embedings of the free group into the group of infinite unitriangular matrices

    Zap. Nauchn. Sem. POMI, 484 (2019),  55–58
  13. Cohomology of algebras of dihedral type. V

    Zap. Nauchn. Sem. POMI, 484 (2019),  45–54
  14. Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras

    Zap. Nauchn. Sem. POMI, 478 (2019),  32–77
  15. Hochschild cohomology of algebras of semidihedral type, IX: exceptional local algebras

    Zap. Nauchn. Sem. POMI, 478 (2019),  17–31
  16. Hochschild cohomology of algebras of dihedral type. VIII. The Hochschild cohomology algebra for the family $D(2\mathcal B)(k,s,0)$ in characteristic $2$

    Zap. Nauchn. Sem. POMI, 470 (2018),  50–87
  17. Hochschild cohomology for algebras of dihedral type, VII. The family $D(3\mathcal R)$

    Zap. Nauchn. Sem. POMI, 460 (2017),  53–81
  18. Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$

    Zap. Nauchn. Sem. POMI, 460 (2017),  35–52
  19. On a strange homotopy category

    Zap. Nauchn. Sem. POMI, 455 (2017),  33–41
  20. On derived equivalence of algebras of semidihedral groups with two simple modules

    Zap. Nauchn. Sem. POMI, 452 (2016),  70–85
  21. Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter

    Zap. Nauchn. Sem. POMI, 452 (2016),  52–69
  22. Hochschild cohomology for algebras of semidihedral type. VI. The family $SD(2\mathcal B)_2$ in characteristic different from 2

    Zap. Nauchn. Sem. POMI, 443 (2016),  61–77
  23. Hochschild cohomology for algebras of dihedral type. VI. The family $D(2\mathcal B)(k,s,1)$

    Algebra i Analiz, 27:6 (2015),  89–116
  24. Hochschild cohomology for algebras of semidihedral type. V. The family $SD(3\mathcal K)$

    Zap. Nauchn. Sem. POMI, 435 (2015),  5–32
  25. The Hochschild cohomology ring for modular group

    Algebra i Analiz, 26:1 (2014),  3–39
  26. Hochschild cohomology for algebras of dihedral type. V. The family $D(3\mathcal K)$ in characteristic different from 2

    Zap. Nauchn. Sem. POMI, 430 (2014),  74–102
  27. A note on localization of pretriangulated categories

    Zap. Nauchn. Sem. POMI, 430 (2014),  67–73
  28. Hochschild cohomology for algebras of dihedral type. IV. The family $D(2\mathcal B)(k,s,0)$

    Zap. Nauchn. Sem. POMI, 423 (2014),  67–104
  29. Hochschild cohomology for algebras of semidihedral type. IV. The cohomology algebra for the family $SD(2\mathcal B)_2(k,t,c)$ in the case $c=0$

    Zap. Nauchn. Sem. POMI, 413 (2013),  45–92
  30. Hochschild cohomology for algebras of semidihedral type. III. The family $SD(2\mathcal B)_2$ in characteristic 2

    Zap. Nauchn. Sem. POMI, 400 (2012),  133–157
  31. Cohomology of algebras of semidihedral type. VIII

    Zap. Nauchn. Sem. POMI, 394 (2011),  194–208
  32. Hochschild cohomology for the integer group ring of the semidihedral group

    Zap. Nauchn. Sem. POMI, 388 (2011),  119–151
  33. Hochschild cohomology for algebras of semidihedral type, II. Local algebras

    Zap. Nauchn. Sem. POMI, 386 (2011),  144–202
  34. Hochschild cohomology for self-injective algebras of tree class $D_n$. III

    Zap. Nauchn. Sem. POMI, 386 (2011),  100–128
  35. Hochschild cohomology of algebras of dihedral type. II. Local algebras

    Zap. Nauchn. Sem. POMI, 375 (2010),  92–129
  36. On construction of bimodule resolutions with the help of Happel's lemma

    Zap. Nauchn. Sem. POMI, 375 (2010),  61–70
  37. Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups

    Algebra i Analiz, 21:2 (2009),  1–51
  38. Bimodule resolution of a group algebra

    Zap. Nauchn. Sem. POMI, 365 (2009),  143–150
  39. Cohomology of algebras of semidihedral type. VII. Local algebras

    Zap. Nauchn. Sem. POMI, 365 (2009),  130–142
  40. Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter

    Zap. Nauchn. Sem. POMI, 356 (2008),  46–84
  41. Hochschild cohomology of the integral group ring of the dihedral group. I: Even case

    Algebra i Analiz, 19:5 (2007),  70–123
  42. Hochschild cohomology of algebras of quaternion type. II. The family $Q(2\mathcal B)_1$ in characteristic 2

    Zap. Nauchn. Sem. POMI, 349 (2007),  53–134
  43. Cohomology of algebras of semidihedral type. VI

    Zap. Nauchn. Sem. POMI, 343 (2007),  183–198
  44. Hochschild cohomology for self-injective algebras of tree class $D_n$. I

    Zap. Nauchn. Sem. POMI, 343 (2007),  121–182
  45. Hochschild cohomology of the Liu–Schulz algebras

    Algebra i Analiz, 18:4 (2006),  39–82
  46. Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups

    Algebra i Analiz, 18:1 (2006),  55–107
  47. A combinatorial proof of Euler–Fermat's theorem on presentation of primes of the form $p=8k+3$ by the quadratic form $x^2+2y^2$

    Zap. Nauchn. Sem. POMI, 330 (2006),  155–157
  48. Cohomology of algebras of semidihedral type. V

    Zap. Nauchn. Sem. POMI, 330 (2006),  131–154
  49. Cocycles in the relative Hochschild cohomology

    Zap. Nauchn. Sem. POMI, 330 (2006),  29–35
  50. Finite generation of the Yoneda algebra of a symmetric special biserial algebra

    Algebra i Analiz, 17:3 (2005),  1–23
  51. Bimodule resolution of Möbius algebra

    Zap. Nauchn. Sem. POMI, 321 (2005),  36–66
  52. Hochschild cohomologies of dihedral type algebras, I: $D(3\mathcal K)$ series in characteristic 2

    Algebra i Analiz, 16:6 (2004),  53–122
  53. Projective resolutions and Yoneda algebras for algebras of dihedral type: the family $D(3\mathcal Q)$

    Fundam. Prikl. Mat., 10:4 (2004),  65–89
  54. Cohomology of algebras of semidihedral type, IV

    Zap. Nauchn. Sem. POMI, 319 (2004),  81–116
  55. Computation of the Yoneda algebras for algebras of dihedral type

    Zap. Nauchn. Sem. POMI, 305 (2003),  101–120
  56. Cohomology of algebras of semidihedral type, III: the family $SD(3\mathcal K)$

    Zap. Nauchn. Sem. POMI, 305 (2003),  84–100
  57. Yoneda algebras for the Liu–Shultz example

    Algebra i Analiz, 14:4 (2002),  19–35
  58. Cohomology of algebras of dihedral type, III: the family $D(2\mathcal A)$

    Zap. Nauchn. Sem. POMI, 289 (2002),  113–133
  59. Yoneda algebra of Möbius algebra

    Zap. Nauchn. Sem. POMI, 289 (2002),  90–112
  60. Cohomology of algebras of dihedral type, IV: the family $D(2\mathcal B)$

    Zap. Nauchn. Sem. POMI, 289 (2002),  76–89
  61. Cohomology of algebras of semidihedral type. II

    Zap. Nauchn. Sem. POMI, 289 (2002),  9–36
  62. Cohomology of algebras of semidyhedral type

    Algebra i Analiz, 13:4 (2001),  54–85
  63. Cohomology of algebras of dihedral type. II

    Algebra i Analiz, 13:1 (2001),  3–25
  64. Grothendieck categories as quotient categories of $(R\mathrm{\text{-}mod},\mathrm{Ab})$

    Fundam. Prikl. Mat., 7:4 (2001),  983–992
  65. Projective resolutions of simple modules for a class of Frobenius algebras

    Fundam. Prikl. Mat., 7:3 (2001),  637–650
  66. Completion of modules over right noetherian serial rings

    Zap. Nauchn. Sem. POMI, 281 (2001),  170–185
  67. Basic submodules over right noetherian serial rings. II

    Zap. Nauchn. Sem. POMI, 281 (2001),  154–169
  68. $QF$-proper classes and relative stable categories

    Zap. Nauchn. Sem. POMI, 281 (2001),  133–153
  69. Basic submodules of modules over right noetherian serial rings. I

    Zap. Nauchn. Sem. POMI, 272 (2000),  129–143
  70. Duality for categories of finitely presented modules

    Algebra i Analiz, 11:6 (1999),  139–152
  71. Localization of pre-triangulated categories

    Algebra i Analiz, 11:3 (1999),  20–52
  72. Decomposition of Grothendieck group of stable categories of finite groups

    Zap. Nauchn. Sem. POMI, 265 (1999),  163–168
  73. Cohomology of algebras of dihedral type. I

    Zap. Nauchn. Sem. POMI, 265 (1999),  139–162
  74. Yoneda algebras of serial $QF$-algebras

    Zap. Nauchn. Sem. POMI, 265 (1999),  130–138
  75. Compatible decompositions of modules over Dedekind prime rings

    Algebra i Analiz, 9:4 (1997),  47–62
  76. Krull dimension of the module category over right noetherian serial rings

    Zap. Nauchn. Sem. POMI, 236 (1997),  73–86
  77. A theorem on compatible bases in modules over Dedekind rings

    Algebra i Analiz, 7:4 (1995),  157–175
  78. Relations for relative Grothendieck groups of rings of finite representation type

    Zap. Nauchn. Sem. POMI, 227 (1995),  61–65
  79. Derived categories of an additive category

    Algebra i Analiz, 4:5 (1992),  91–103
  80. Relative homological algebra in pre-abelian categories. I. Derived categories

    Algebra i Analiz, 4:1 (1992),  98–119
  81. Algebraically compact modules and relative homological algebra over tame hereditary algebras

    Algebra Logika, 30:3 (1991),  259–292
  82. Relative Grothendieck groups and exact sequences over tame hereditary algebras

    Algebra i Analiz, 2:1 (1990),  47–72
  83. The Kuz'minov formula

    Sibirsk. Mat. Zh., 29:4 (1988),  202–204
  84. Inductively closed proper classes over bounded $hnp$-rings

    Algebra Logika, 25:4 (1986),  384–404
  85. The $\omega$-Cohigh purity in a category of modules

    Mat. Zametki, 33:5 (1983),  785–796
  86. Inductive purities in a category of modules

    Sibirsk. Mat. Zh., 24:4 (1983),  201–205
  87. On an axiomatic description of weak purities in the category of modules

    Mat. Sb. (N.S.), 109(151):1(5) (1979),  80–92
  88. On weak and $\omega$-high purity in the category of modules

    Mat. Sb. (N.S.), 105(147):3 (1978),  389–402
  89. On the definition of purity of modules

    Mat. Zametki, 11:4 (1972),  375–380

  90. Nikolai Aleksandrovich Vavilov

    Zap. Nauchn. Sem. POMI, 531 (2024),  7–40
  91. Anatoly Vladimirovich Yakovlev

    Zap. Nauchn. Sem. POMI, 513 (2022),  5–8
  92. 80 anniversary of Professor Anatolii Vladimirovich Yakovlev

    Zap. Nauchn. Sem. POMI, 492 (2020),  5–9
  93. To the anniversary of Sergei Vladimirovich Vostokov

    Algebra i Analiz, 27:6 (2015),  3–5
  94. Anatolii Vladimirovich Yakovlev

    Zap. Nauchn. Sem. POMI, 272 (2000),  5–13

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