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Generalov, Aleksandr Ivanovich
Statistics Math-Net.Ru
Total publications: 94
Scientific articles: 89
Talks: 2

Number of views:
This page:7078
Abstract pages:62448
Full texts:22675
Talk pages:1671
Professor
Doctor of physico-mathematical sciences (1990)
Speciality: 01.01.06 (Mathematical logic, algebra, and number theory)
E-mail: ,

https://www.mathnet.ru/eng/person23205
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/192140
https://elibrary.ru/author_items.asp?authorid=136564

Publications in Math-Net.Ru Citations
2025
1. A. I. Generalov, N. S. Zhamkov, “$bv$-structure on the Hochschild cohomology algebra of local algebras of semidihedral type”, Chebyshevskii Sb., 26:4 (2025),  88–97  mathnet
2. A. I. Generalov, “Relative homological algebra in preabelian categories and Freyd category”, Zap. Nauchn. Sem. POMI, 547 (2025),  32–48  mathnet
2024
3. A. I. Generalov, “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  mathnet
4. A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. XI. Cohomology algebra for a family of exceptional algebras”, Zap. Nauchn. Sem. POMI, 531 (2024),  71–100  mathnet 1
2023
5. A. I. Generalov, A. V. Semenov, “$BV$-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  mathnet; St. Petersburg Math. J., 35:4 (2024), 653–676
6. A. I. Generalov, I. M. Zilberbord, V. A. Rogov, “Hochschild cohomology for algebras of dihedral type. X. Exceptional local algebras”, Zap. Nauchn. Sem. POMI, 522 (2023),  60–83  mathnet 2
2022
7. A. I. Generalov, M. A. Kachalova, P. A. Mostovskij, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 288:3 (2025), 284–304 4
8. A. I. Generalov, N. S. Zhamkov, “On an injective structure in a homotopy category”, Zap. Nauchn. Sem. POMI, 513 (2022),  22–29  mathnet; J. Math. Sci. (N. Y.), 288:3 (2025), 277–283
2021
9. A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type, X. Cohomology algebra for exceptional local algebras”, Zap. Nauchn. Sem. POMI, 500 (2021),  51–111  mathnet
2020
10. A. I. Generalov, I. M. Zilberbord, “A note on generalized semicommutative rings”, Zap. Nauchn. Sem. POMI, 492 (2020),  69–74  mathnet
11. A. I. Generalov, “Algebraic Mayer–Vietoris theorem over preabelian categories”, Zap. Nauchn. Sem. POMI, 492 (2020),  61–68  mathnet
2019
12. A. I. Generalov, A. S. Mironov, “On embedings of the free group into the group of infinite unitriangular matrices”, Zap. Nauchn. Sem. POMI, 484 (2019),  55–58  mathnet
13. A. I. Generalov, “Cohomology of algebras of dihedral type. V”, Zap. Nauchn. Sem. POMI, 484 (2019),  45–54  mathnet
14. A. I. Generalov, A. V. Semenov, “Hochschild cohomology of algebras of quaternion type, IV: cohomology algebra for exceptional local algebras”, Zap. Nauchn. Sem. POMI, 478 (2019),  32–77  mathnet 3
15. A. I. Generalov, D. A. Nikulin, “Hochschild cohomology of algebras of semidihedral type, IX: exceptional local algebras”, Zap. Nauchn. Sem. POMI, 478 (2019),  17–31  mathnet 1
2018
16. A. I. Generalov, N. Yu. Kosovskaia, “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  mathnet; J. Math. Sci. (N. Y.), 243:4 (2019), 535–560  scopus 5
2017
17. A. I. Generalov, M. A. Filippov, “Hochschild cohomology for algebras of dihedral type, VII. The family $D(3\mathcal R)$”, Zap. Nauchn. Sem. POMI, 460 (2017),  53–81  mathnet; J. Math. Sci. (N. Y.), 240:4 (2019), 408–427 7
18. A. I. Generalov, A. A. Zaikovskiy, “Hochschild cohomology for algebras of semidihedral type. VIII. The family $SD(2\mathcal B)_1$”, Zap. Nauchn. Sem. POMI, 460 (2017),  35–52  mathnet; J. Math. Sci. (N. Y.), 240:4 (2019), 395–407 4
19. A. I. Generalov, “On a strange homotopy category”, Zap. Nauchn. Sem. POMI, 455 (2017),  33–41  mathnet; J. Math. Sci. (N. Y.), 234:2 (2018), 135–140 1
2016
20. A. I. Generalov, A. A. Zaikovskii, “On derived equivalence of algebras of semidihedral groups with two simple modules”, Zap. Nauchn. Sem. POMI, 452 (2016),  70–85  mathnet  mathscinet; J. Math. Sci. (N. Y.), 232:5 (2018), 635–646  scopus 6
21. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, Zap. Nauchn. Sem. POMI, 452 (2016),  52–69  mathnet  mathscinet; J. Math. Sci. (N. Y.), 232:5 (2018), 622–634  scopus 7
22. A. I. Generalov, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 222:4 (2017), 404–416  scopus 9
2015
23. A. I. Generalov, D. B. Romanova, “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  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 923–940  isi  scopus 10
24. A. I. Generalov, I. M. Zilberbord, “Hochschild cohomology for algebras of semidihedral type. V. The family $SD(3\mathcal K)$”, Zap. Nauchn. Sem. POMI, 435 (2015),  5–32  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:4 (2016), 493–512 8
2014
25. A. P. Alekhin, Yu. V. Volkov, A. I. Generalov, “The Hochschild cohomology ring for modular group”, Algebra i Analiz, 26:1 (2014),  3–39  mathnet  mathscinet  elib; St. Petersburg Math. J., 26:1 (2015), 1–25  isi  scopus
26. A. I. Generalov, I. M. Zilberbord, D. B. Romanova, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:3 (2016), 385–404 11
27. A. I. Generalov, “A note on localization of pretriangulated categories”, Zap. Nauchn. Sem. POMI, 430 (2014),  67–73  mathnet  mathscinet; J. Math. Sci. (N. Y.), 219:3 (2016), 380–384
28. A. I. Generalov, N. Yu. Kosovskaia, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 209:4 (2015), 522–548  scopus 14
2013
29. A. I. Generalov, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 202:3 (2014), 360–394  scopus 12
2012
30. A. I. Generalov, “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  mathnet  mathscinet; J. Math. Sci. (N. Y.), 192:2 (2013), 200–214  scopus 15
2011
31. A. I. Generalov, “Cohomology of algebras of semidihedral type. VIII”, Zap. Nauchn. Sem. POMI, 394 (2011),  194–208  mathnet  mathscinet; J. Math. Sci. (N. Y.), 188:5 (2013), 582–590  scopus 3
32. A. I. Generalov, “Hochschild cohomology for the integer group ring of the semidihedral group”, Zap. Nauchn. Sem. POMI, 388 (2011),  119–151  mathnet; J. Math. Sci. (N. Y.), 183:5 (2012), 640–657  scopus 8
33. A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, Zap. Nauchn. Sem. POMI, 386 (2011),  144–202  mathnet; J. Math. Sci. (N. Y.), 180:3 (2012), 278–314  scopus 15
34. Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. III”, Zap. Nauchn. Sem. POMI, 386 (2011),  100–128  mathnet; J. Math. Sci. (N. Y.), 180:3 (2012), 252–268  scopus 16
2010
35. A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. II. Local algebras”, Zap. Nauchn. Sem. POMI, 375 (2010),  92–129  mathnet; J. Math. Sci. (N. Y.), 171:3 (2010), 357–379  scopus 22
36. Y. V. Volkov, A. I. Generalov, S. O. Ivanov, “On construction of bimodule resolutions with the help of Happel's lemma”, Zap. Nauchn. Sem. POMI, 375 (2010),  61–70  mathnet; J. Math. Sci. (N. Y.), 171:3 (2010), 338–343  scopus 21
2009
37. A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups”, Algebra i Analiz, 21:2 (2009),  1–51  mathnet  mathscinet  zmath; St. Petersburg Math. J., 21:2 (2010), 163–201  isi  scopus 23
38. A. I. Generalov, S. O. Ivanov, “Bimodule resolution of a group algebra”, Zap. Nauchn. Sem. POMI, 365 (2009),  143–150  mathnet  zmath; J. Math. Sci. (N. Y.), 161:4 (2009), 537–541  scopus 2
39. A. I. Generalov, “Cohomology of algebras of semidihedral type. VII. Local algebras”, Zap. Nauchn. Sem. POMI, 365 (2009),  130–142  mathnet  zmath; J. Math. Sci. (N. Y.), 161:4 (2009), 530–536  scopus 3
2008
40. A. I. Generalov, “Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter”, Zap. Nauchn. Sem. POMI, 356 (2008),  46–84  mathnet  zmath; J. Math. Sci. (N. Y.), 156:6 (2009), 877–900  scopus 19
2007
41. A. I. Generalov, “Hochschild cohomology of the integral group ring of the dihedral group. I: Even case”, Algebra i Analiz, 19:5 (2007),  70–123  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:5 (2008), 723–763  isi 14
42. A. I. Generalov, A. A. Ivanov, S. O. Ivanov, “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  mathnet; J. Math. Sci. (N. Y.), 151:3 (2008), 2961–3009  scopus 23
43. A. I. Generalov, “Cohomology of algebras of semidihedral type. VI”, Zap. Nauchn. Sem. POMI, 343 (2007),  183–198  mathnet  mathscinet; J. Math. Sci. (N. Y.), 147:5 (2007), 7074–7083  scopus 3
44. Yu. V. Volkov, A. I. Generalov, “Hochschild cohomology for self-injective algebras of tree class $D_n$. I”, Zap. Nauchn. Sem. POMI, 343 (2007),  121–182  mathnet  mathscinet; J. Math. Sci. (N. Y.), 147:5 (2007), 7042–7073  scopus 24
2006
45. A. I. Generalov, N. Yu. Kosovskaya, “Hochschild cohomology of the Liu–Schulz algebras”, Algebra i Analiz, 18:4 (2006),  39–82  mathnet  mathscinet  zmath; St. Petersburg Math. J., 18:4 (2007), 539–572 19
46. A. I. Generalov, “Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups”, Algebra i Analiz, 18:1 (2006),  55–107  mathnet  mathscinet  zmath; St. Petersburg Math. J., 18:1 (2007), 37–76 27
47. A. I. Generalov, “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  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 690–691  scopus 2
48. A. I. Generalov, “Cohomology of algebras of semidihedral type. V”, Zap. Nauchn. Sem. POMI, 330 (2006),  131–154  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 676–689  scopus 4
49. E. A. Bezyakina, A. I. Generalov, “Cocycles in the relative Hochschild cohomology”, Zap. Nauchn. Sem. POMI, 330 (2006),  29–35  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 622–625  scopus
2005
50. M. A. Antipov, A. I. Generalov, “Finite generation of the Yoneda algebra of a symmetric special biserial algebra”, Algebra i Analiz, 17:3 (2005),  1–23  mathnet  mathscinet  zmath; St. Petersburg Math. J., 17:3 (2006), 377–392 9
51. A. I. Generalov, M. A. Kachalova, “Bimodule resolution of Möbius algebra”, Zap. Nauchn. Sem. POMI, 321 (2005),  36–66  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 136:3 (2006), 3850–3866  scopus 30
2004
52. A. I. Generalov, “Hochschild cohomologies of dihedral type algebras, I: $D(3\mathcal K)$ series in characteristic 2”, Algebra i Analiz, 16:6 (2004),  53–122  mathnet  mathscinet  zmath; St. Petersburg Math. J., 16:6 (2005), 961–1012 34
53. A. I. Generalov, N. V. Kosmatov, “Projective resolutions and Yoneda algebras for algebras of dihedral type: the family $D(3\mathcal Q)$”, Fundam. Prikl. Mat., 10:4 (2004),  65–89  mathnet  mathscinet  zmath; J. Math. Sci., 140:2 (2007), 221–238  scopus 5
54. A. I. Generalov, “Cohomology of algebras of semidihedral type, IV”, Zap. Nauchn. Sem. POMI, 319 (2004),  81–116  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 134:6 (2006), 2489–2510 6
2003
55. A. I. Generalov, N. V. Kosmatov, “Computation of the Yoneda algebras for algebras of dihedral type”, Zap. Nauchn. Sem. POMI, 305 (2003),  101–120  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 130:3 (2005), 4699–4711 8
56. A. I. Generalov, “Cohomology of algebras of semidihedral type, III: the family $SD(3\mathcal K)$”, Zap. Nauchn. Sem. POMI, 305 (2003),  84–100  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 130:3 (2005), 4689–4698 10
2002
57. A. I. Generalov, N. Yu. Fëdorova, “Yoneda algebras for the Liu–Shultz example”, Algebra i Analiz, 14:4 (2002),  19–35  mathnet  mathscinet  zmath; St. Petersburg Math. J., 14:4 (2003), 549–562 2
58. A. I. Generalov, E. A. Osiyuk, “Cohomology of algebras of dihedral type, III: the family $D(2\mathcal A)$”, Zap. Nauchn. Sem. POMI, 289 (2002),  113–133  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4741–4753 12
59. A. I. Generalov, M. A. Kachalova, “Yoneda algebra of Möbius algebra”, Zap. Nauchn. Sem. POMI, 289 (2002),  90–112  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4727–4740 3
60. A. I. Generalov, “Cohomology of algebras of dihedral type, IV: the family $D(2\mathcal B)$”, Zap. Nauchn. Sem. POMI, 289 (2002),  76–89  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4719–4726 14
61. M. A. Antipov, A. I. Generalov, “Cohomology of algebras of semidihedral type. II”, Zap. Nauchn. Sem. POMI, 289 (2002),  9–36  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 124:1 (2004), 4681–4697 14
2001
62. A. I. Generalov, “Cohomology of algebras of semidyhedral type”, Algebra i Analiz, 13:4 (2001),  54–85  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:4 (2002), 549–573 14
63. O. I. Balashov, A. I. Generalov, “Cohomology of algebras of dihedral type. II”, Algebra i Analiz, 13:1 (2001),  3–25  mathnet  mathscinet  zmath; St. Petersburg Math. J., 13:1 (2002), 1–16 10
64. G. A. Garkusha, A. I. Generalov, “Grothendieck categories as quotient categories of $(R\mathrm{\text{-}mod},\mathrm{Ab})$”, Fundam. Prikl. Mat., 7:4 (2001),  983–992  mathnet  mathscinet  zmath
65. O. I. Balashov, A. I. Generalov, “Projective resolutions of simple modules for a class of Frobenius algebras”, Fundam. Prikl. Mat., 7:3 (2001),  637–650  mathnet  mathscinet  zmath 1
66. A. I. Generalov, I. M. Zilberbord, “Completion of modules over right noetherian serial rings”, Zap. Nauchn. Sem. POMI, 281 (2001),  170–185  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1583–1590 1
67. A. I. Generalov, I. M. Zilberbord, “Basic submodules over right noetherian serial rings. II”, Zap. Nauchn. Sem. POMI, 281 (2001),  154–169  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1575–1582 1
68. A. I. Generalov, “$QF$-proper classes and relative stable categories”, Zap. Nauchn. Sem. POMI, 281 (2001),  133–153  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 120:4 (2004), 1563–1574
2000
69. A. I. Generalov, I. M. Zilberbord, “Basic submodules of modules over right noetherian serial rings. I”, Zap. Nauchn. Sem. POMI, 272 (2000),  129–143  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:1 (2003), 2953–2960 1
1999
70. G. A. Garkusha, A. I. Generalov, “Duality for categories of finitely presented modules”, Algebra i Analiz, 11:6 (1999),  139–152  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:6 (2000), 1051–1061 5
71. A. I. Generalov, “Localization of pre-triangulated categories”, Algebra i Analiz, 11:3 (1999),  20–52  mathnet  mathscinet  zmath; St. Petersburg Math. J., 11:3 (2000), 419–440 1
72. A. I. Generalov, I. O. Isametdinov, “Decomposition of Grothendieck group of stable categories of finite groups”, Zap. Nauchn. Sem. POMI, 265 (1999),  163–168  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 112:4 (2002), 4333–4336
73. A. I. Generalov, “Cohomology of algebras of dihedral type. I”, Zap. Nauchn. Sem. POMI, 265 (1999),  139–162  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 112:3 (2002), 4318–4331 14
74. A. I. Generalov, “Yoneda algebras of serial $QF$-algebras”, Zap. Nauchn. Sem. POMI, 265 (1999),  130–138  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 112:3 (2002), 4313–4317 1
1997
75. A. I. Generalov, M. V. Zheludev, “Compatible decompositions of modules over Dedekind prime rings”, Algebra i Analiz, 9:4 (1997),  47–62  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:4 (1998), 695–708 2
76. A. I. Generalov, “Krull dimension of the module category over right noetherian serial rings”, Zap. Nauchn. Sem. POMI, 236 (1997),  73–86  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 95:2 (1999), 2088–2095 1
1995
77. A. I. Generalov, M. V. Zheludev, “A theorem on compatible bases in modules over Dedekind rings”, Algebra i Analiz, 7:4 (1995),  157–175  mathnet  mathscinet  zmath; St. Petersburg Math. J., 7:4 (1996), 619–631 7
78. A. I. Generalov, “Relations for relative Grothendieck groups of rings of finite representation type”, Zap. Nauchn. Sem. POMI, 227 (1995),  61–65  mathnet  mathscinet  zmath; J. Math. Sci. (New York), 89:2 (1998), 1119–1121
1992
79. A. I. Generalov, “Derived categories of an additive category”, Algebra i Analiz, 4:5 (1992),  91–103  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:5 (1993), 909–919 3
80. A. I. Generalov, “Relative homological algebra in pre-abelian categories. I. Derived categories”, Algebra i Analiz, 4:1 (1992),  98–119  mathnet  mathscinet  zmath; St. Petersburg Math. J., 4:1 (1993), 93–113 5
1991
81. A. I. Generalov, “Algebraically compact modules and relative homological algebra over tame hereditary algebras”, Algebra Logika, 30:3 (1991),  259–292  mathnet  mathscinet 2
1990
82. A. I. Generalov, “Relative Grothendieck groups and exact sequences over tame hereditary algebras”, Algebra i Analiz, 2:1 (1990),  47–72  mathnet  mathscinet  zmath; Leningrad Math. J., 2:1 (1991), 41–63
1988
83. A. I. Generalov, “The Kuz'minov formula”, Sibirsk. Mat. Zh., 29:4 (1988),  202–204  mathnet  mathscinet  zmath; Siberian Math. J., 29:4 (1988), 682–684  isi
1986
84. A. I. Generalov, “Inductively closed proper classes over bounded $hnp$-rings”, Algebra Logika, 25:4 (1986),  384–404  mathnet  mathscinet 2
1983
85. A. I. Generalov, “The $\omega$-Cohigh purity in a category of modules”, Mat. Zametki, 33:5 (1983),  785–796  mathnet  mathscinet  zmath; Math. Notes, 33:5 (1983), 402–408  isi 4
86. A. I. Generalov, “Inductive purities in a category of modules”, Sibirsk. Mat. Zh., 24:4 (1983),  201–205  mathnet  mathscinet  zmath 1
1979
87. A. I. Generalov, “On an axiomatic description of weak purities in the category of modules”, Mat. Sb. (N.S.), 109(151):1(5) (1979),  80–92  mathnet  mathscinet  zmath; Math. USSR-Sb., 37:1 (1980), 71–82  isi
1978
88. A. I. Generalov, “On weak and $\omega$-high purity in the category of modules”, Mat. Sb. (N.S.), 105(147):3 (1978),  389–402  mathnet  mathscinet  zmath; Math. USSR-Sb., 34:3 (1978), 345–356 3
1972
89. A. I. Generalov, “On the definition of purity of modules”, Mat. Zametki, 11:4 (1972),  375–380  mathnet  mathscinet  zmath; Math. Notes, 11:4 (1972), 232–235 3
2024
90. E. B. Plotkin, A. I. Generalov, N. S. Geldhauser, N. L. Gordeev, A. Yu. Luzgarev, V. V. Nesterov, I. A. Panin, V. A. Petrov, S. Yu. Pilyugin, A. V. Stepanov, A. K. Stavrova, V. G. Khalin, “Nikolai Aleksandrovich Vavilov”, Zap. Nauchn. Sem. POMI, 531 (2024),  7–40  mathnet
2022
91. N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, E. V. Dybkova, I. M. Zilberbord, I. A. Panin, V. A. Petrov, K. I. Pimenov, A. A. Semjonov, A. L. Smirnov, A. V. Stepanov, “Anatoly Vladimirovich Yakovlev”, Zap. Nauchn. Sem. POMI, 513 (2022),  5–8  mathnet; J. Math. Sci. (N. Y.), 288:3 (2025), 267–268
2020
92. N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, E. V. Dybkova, I. M. Zilberbord, A. S. Merkurjev, I. A. Panin, V. A. Petrov, K. I. Pimenov, A. A. Semenov, A. L. Smirnov, A. V. Stepanov, “80 anniversary of Professor Anatolii Vladimirovich Yakovlev”, Zap. Nauchn. Sem. POMI, 492 (2020),  5–9  mathnet
2015
93. D. G. Benua, M. V. Bondarko, N. A. Vavilov, M. A. Vsemirnov, A. I. Generalov, N. L. Gordeev, I. B. Zhukov, G. A. Leonov, B. B. Lur'e, I. A. Panin, A. L. Smirnov, I. B. Fesenko, A. V. Yakovlev, “To the anniversary of Sergei Vladimirovich Vostokov”, Algebra i Analiz, 27:6 (2015),  3–5  mathnet  mathscinet  elib; St. Petersburg Math. J., 27:6 (2016), 861–862  isi  scopus
2000
94. N. A. Vavilov, S. V. Vostokov, A. I. Generalov, N. L. Gordeev, B. B. Lur'e, A. S. Merkur'ev, V. V. Ishkhanov, I. A. Panin, A. I. Skopin, A. A. Suslin, “Anatolii Vladimirovich Yakovlev”, Zap. Nauchn. Sem. POMI, 272 (2000),  5–13  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 116:1 (2003), 2883–2886

Presentations in Math-Net.Ru
1. Cohomology of finite-dimensional algebras: new methods and results
A. I. Generalov
Meetings of the St. Petersburg Mathematical Society
November 7, 2006
2. Homological algebra from the point of view of elementary algebra
A. I. Generalov
Meetings of the St. Petersburg Mathematical Society
October 22, 1998

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