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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
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 |
2. |
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 |
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2022 |
3. |
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 |
2
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4. |
A. I. Generalov, N. S. Zhamkov, “On an injective structure in a homotopy category”, Zap. Nauchn. Sem. POMI, 513 (2022), 22–29 |
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2021 |
5. |
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 |
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2020 |
6. |
A. I. Generalov, I. M. Zilberbord, “A note on generalized semicommutative rings”, Zap. Nauchn. Sem. POMI, 492 (2020), 69–74 |
7. |
A. I. Generalov, “Algebraic Mayer–Vietoris theorem over preabelian categories”, Zap. Nauchn. Sem. POMI, 492 (2020), 61–68 |
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2019 |
8. |
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 |
9. |
A. I. Generalov, “Cohomology of algebras of dihedral type. V”, Zap. Nauchn. Sem. POMI, 484 (2019), 45–54 |
10. |
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 |
3
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11. |
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 |
1
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2018 |
12. |
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 ; J. Math. Sci. (N. Y.), 243:4 (2019), 535–560 |
3
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2017 |
13. |
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 ; J. Math. Sci. (N. Y.), 240:4 (2019), 408–427 |
5
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14. |
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 ; J. Math. Sci. (N. Y.), 240:4 (2019), 395–407 |
4
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15. |
A. I. Generalov, “On a strange homotopy category”, Zap. Nauchn. Sem. POMI, 455 (2017), 33–41 ; J. Math. Sci. (N. Y.), 234:2 (2018), 135–140 |
1
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2016 |
16. |
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 ; J. Math. Sci. (N. Y.), 232:5 (2018), 635–646 |
6
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17. |
A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type. VII. Algebras with a small parameter”, Zap. Nauchn. Sem. POMI, 452 (2016), 52–69 ; J. Math. Sci. (N. Y.), 232:5 (2018), 622–634 |
7
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18. |
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 ; J. Math. Sci. (N. Y.), 222:4 (2017), 404–416 |
9
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2015 |
19. |
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 ; St. Petersburg Math. J., 27:6 (2016), 923–940 |
8
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20. |
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 ; J. Math. Sci. (N. Y.), 219:4 (2016), 493–512 |
8
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2014 |
21. |
A. P. Alekhin, Yu. V. Volkov, A. I. Generalov, “The Hochschild cohomology ring for modular group”, Algebra i Analiz, 26:1 (2014), 3–39 ; St. Petersburg Math. J., 26:1 (2015), 1–25 |
22. |
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 ; J. Math. Sci. (N. Y.), 219:3 (2016), 385–404 |
9
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23. |
A. I. Generalov, “A note on localization of pretriangulated categories”, Zap. Nauchn. Sem. POMI, 430 (2014), 67–73 ; J. Math. Sci. (N. Y.), 219:3 (2016), 380–384 |
24. |
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 ; J. Math. Sci. (N. Y.), 209:4 (2015), 522–548 |
12
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2013 |
25. |
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 ; J. Math. Sci. (N. Y.), 202:3 (2014), 360–394 |
12
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2012 |
26. |
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 ; J. Math. Sci. (N. Y.), 192:2 (2013), 200–214 |
15
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2011 |
27. |
A. I. Generalov, “Cohomology of algebras of semidihedral type. VIII”, Zap. Nauchn. Sem. POMI, 394 (2011), 194–208 ; J. Math. Sci. (N. Y.), 188:5 (2013), 582–590 |
3
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28. |
A. I. Generalov, “Hochschild cohomology for the integer group ring of the semidihedral group”, Zap. Nauchn. Sem. POMI, 388 (2011), 119–151 ; J. Math. Sci. (N. Y.), 183:5 (2012), 640–657 |
8
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29. |
A. I. Generalov, “Hochschild cohomology for algebras of semidihedral type, II. Local algebras”, Zap. Nauchn. Sem. POMI, 386 (2011), 144–202 ; J. Math. Sci. (N. Y.), 180:3 (2012), 278–314 |
15
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30. |
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 ; J. Math. Sci. (N. Y.), 180:3 (2012), 252–268 |
16
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2010 |
31. |
A. I. Generalov, “Hochschild cohomology of algebras of dihedral type. II. Local algebras”, Zap. Nauchn. Sem. POMI, 375 (2010), 92–129 ; J. Math. Sci. (N. Y.), 171:3 (2010), 357–379 |
21
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32. |
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 ; J. Math. Sci. (N. Y.), 171:3 (2010), 338–343 |
21
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2009 |
33. |
A. I. Generalov, “Hochschild cohomology of algebras of semidihedral type. I. Group algebras of semidihedral groups”, Algebra i Analiz, 21:2 (2009), 1–51 ; St. Petersburg Math. J., 21:2 (2010), 163–201 |
22
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34. |
A. I. Generalov, S. O. Ivanov, “Bimodule resolution of a group algebra”, Zap. Nauchn. Sem. POMI, 365 (2009), 143–150 ; J. Math. Sci. (N. Y.), 161:4 (2009), 537–541 |
2
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35. |
A. I. Generalov, “Cohomology of algebras of semidihedral type. VII. Local algebras”, Zap. Nauchn. Sem. POMI, 365 (2009), 130–142 ; J. Math. Sci. (N. Y.), 161:4 (2009), 530–536 |
3
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2008 |
36. |
A. I. Generalov, “Hochschild cohomology of algebras of quaternion type. III. Algebras with a small parameter”, Zap. Nauchn. Sem. POMI, 356 (2008), 46–84 ; J. Math. Sci. (N. Y.), 156:6 (2009), 877–900 |
19
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2007 |
37. |
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 ; St. Petersburg Math. J., 19:5 (2008), 723–763 |
14
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38. |
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 ; J. Math. Sci. (N. Y.), 151:3 (2008), 2961–3009 |
24
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39. |
A. I. Generalov, “Cohomology of algebras of semidihedral type. VI”, Zap. Nauchn. Sem. POMI, 343 (2007), 183–198 ; J. Math. Sci. (N. Y.), 147:5 (2007), 7074–7083 |
3
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40. |
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 ; J. Math. Sci. (N. Y.), 147:5 (2007), 7042–7073 |
24
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2006 |
41. |
A. I. Generalov, N. Yu. Kosovskaya, “Hochschild cohomology of the Liu–Schulz algebras”, Algebra i Analiz, 18:4 (2006), 39–82 ; St. Petersburg Math. J., 18:4 (2007), 539–572 |
19
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42. |
A. I. Generalov, “Hochschild cohomology of algebras of quaternion type, I: Generalized quaternion groups”, Algebra i Analiz, 18:1 (2006), 55–107 ; St. Petersburg Math. J., 18:1 (2007), 37–76 |
28
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43. |
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 ; J. Math. Sci. (N. Y.), 140:5 (2007), 690–691 |
2
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44. |
A. I. Generalov, “Cohomology of algebras of semidihedral type. V”, Zap. Nauchn. Sem. POMI, 330 (2006), 131–154 ; J. Math. Sci. (N. Y.), 140:5 (2007), 676–689 |
4
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45. |
E. A. Bezyakina, A. I. Generalov, “Cocycles in the relative Hochschild cohomology”, Zap. Nauchn. Sem. POMI, 330 (2006), 29–35 ; J. Math. Sci. (N. Y.), 140:5 (2007), 622–625 |
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2005 |
46. |
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 ; St. Petersburg Math. J., 17:3 (2006), 377–392 |
9
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47. |
A. I. Generalov, M. A. Kachalova, “Bimodule resolution of Möbius algebra”, Zap. Nauchn. Sem. POMI, 321 (2005), 36–66 ; J. Math. Sci. (N. Y.), 136:3 (2006), 3850–3866 |
30
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2004 |
48. |
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 ; St. Petersburg Math. J., 16:6 (2005), 961–1012 |
32
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49. |
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 ; J. Math. Sci., 140:2 (2007), 221–238 |
5
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50. |
A. I. Generalov, “Cohomology of algebras of semidihedral type, IV”, Zap. Nauchn. Sem. POMI, 319 (2004), 81–116 ; J. Math. Sci. (N. Y.), 134:6 (2006), 2489–2510 |
6
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2003 |
51. |
A. I. Generalov, N. V. Kosmatov, “Computation of the Yoneda algebras for algebras of dihedral type”, Zap. Nauchn. Sem. POMI, 305 (2003), 101–120 ; J. Math. Sci. (N. Y.), 130:3 (2005), 4699–4711 |
8
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52. |
A. I. Generalov, “Cohomology of algebras of semidihedral type, III: the family $SD(3\mathcal K)$”, Zap. Nauchn. Sem. POMI, 305 (2003), 84–100 ; J. Math. Sci. (N. Y.), 130:3 (2005), 4689–4698 |
10
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2002 |
53. |
A. I. Generalov, N. Yu. Fëdorova, “Yoneda algebras for the Liu–Shultz example”, Algebra i Analiz, 14:4 (2002), 19–35 ; St. Petersburg Math. J., 14:4 (2003), 549–562 |
2
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54. |
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 ; J. Math. Sci. (N. Y.), 124:1 (2004), 4741–4753 |
12
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55. |
A. I. Generalov, M. A. Kachalova, “Yoneda algebra of Möbius algebra”, Zap. Nauchn. Sem. POMI, 289 (2002), 90–112 ; J. Math. Sci. (N. Y.), 124:1 (2004), 4727–4740 |
3
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56. |
A. I. Generalov, “Cohomology of algebras of dihedral type, IV: the family $D(2\mathcal B)$”, Zap. Nauchn. Sem. POMI, 289 (2002), 76–89 ; J. Math. Sci. (N. Y.), 124:1 (2004), 4719–4726 |
14
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57. |
M. A. Antipov, A. I. Generalov, “Cohomology of algebras of semidihedral type. II”, Zap. Nauchn. Sem. POMI, 289 (2002), 9–36 ; J. Math. Sci. (N. Y.), 124:1 (2004), 4681–4697 |
14
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2001 |
58. |
A. I. Generalov, “Cohomology of algebras of semidyhedral type”, Algebra i Analiz, 13:4 (2001), 54–85 ; St. Petersburg Math. J., 13:4 (2002), 549–573 |
14
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59. |
O. I. Balashov, A. I. Generalov, “Cohomology of algebras of dihedral type. II”, Algebra i Analiz, 13:1 (2001), 3–25 ; St. Petersburg Math. J., 13:1 (2002), 1–16 |
10
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60. |
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 |
61. |
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 |
1
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62. |
A. I. Generalov, I. M. Zilberbord, “Completion of modules over right noetherian serial rings”, Zap. Nauchn. Sem. POMI, 281 (2001), 170–185 ; J. Math. Sci. (N. Y.), 120:4 (2004), 1583–1590 |
1
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63. |
A. I. Generalov, I. M. Zilberbord, “Basic submodules over right noetherian serial rings. II”, Zap. Nauchn. Sem. POMI, 281 (2001), 154–169 ; J. Math. Sci. (N. Y.), 120:4 (2004), 1575–1582 |
1
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64. |
A. I. Generalov, “$QF$-proper classes and relative stable categories”, Zap. Nauchn. Sem. POMI, 281 (2001), 133–153 ; J. Math. Sci. (N. Y.), 120:4 (2004), 1563–1574 |
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2000 |
65. |
A. I. Generalov, I. M. Zilberbord, “Basic submodules of modules over right noetherian serial rings. I”, Zap. Nauchn. Sem. POMI, 272 (2000), 129–143 ; J. Math. Sci. (N. Y.), 116:1 (2003), 2953–2960 |
1
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1999 |
66. |
G. A. Garkusha, A. I. Generalov, “Duality for categories of finitely presented modules”, Algebra i Analiz, 11:6 (1999), 139–152 ; St. Petersburg Math. J., 11:6 (2000), 1051–1061 |
5
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67. |
A. I. Generalov, “Localization of pre-triangulated categories”, Algebra i Analiz, 11:3 (1999), 20–52 ; St. Petersburg Math. J., 11:3 (2000), 419–440 |
1
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68. |
A. I. Generalov, I. O. Isametdinov, “Decomposition of Grothendieck group of stable categories of finite groups”, Zap. Nauchn. Sem. POMI, 265 (1999), 163–168 ; J. Math. Sci. (New York), 112:4 (2002), 4333–4336 |
69. |
A. I. Generalov, “Cohomology of algebras of dihedral type. I”, Zap. Nauchn. Sem. POMI, 265 (1999), 139–162 ; J. Math. Sci. (New York), 112:3 (2002), 4318–4331 |
14
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70. |
A. I. Generalov, “Yoneda algebras of serial $QF$-algebras”, Zap. Nauchn. Sem. POMI, 265 (1999), 130–138 ; J. Math. Sci. (New York), 112:3 (2002), 4313–4317 |
1
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1997 |
71. |
A. I. Generalov, M. V. Zheludev, “Compatible decompositions of modules over Dedekind prime rings”, Algebra i Analiz, 9:4 (1997), 47–62 ; St. Petersburg Math. J., 9:4 (1998), 695–708 |
2
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72. |
A. I. Generalov, “Krull dimension of the module category over right noetherian serial rings”, Zap. Nauchn. Sem. POMI, 236 (1997), 73–86 ; J. Math. Sci. (New York), 95:2 (1999), 2088–2095 |
1
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1995 |
73. |
A. I. Generalov, M. V. Zheludev, “A theorem on compatible bases in modules over Dedekind rings”, Algebra i Analiz, 7:4 (1995), 157–175 ; St. Petersburg Math. J., 7:4 (1996), 619–631 |
7
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74. |
A. I. Generalov, “Relations for relative Grothendieck groups of rings of finite representation type”, Zap. Nauchn. Sem. POMI, 227 (1995), 61–65 ; J. Math. Sci. (New York), 89:2 (1998), 1119–1121 |
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1992 |
75. |
A. I. Generalov, “Derived categories of an additive category”, Algebra i Analiz, 4:5 (1992), 91–103 ; St. Petersburg Math. J., 4:5 (1993), 909–919 |
2
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76. |
A. I. Generalov, “Relative homological algebra in pre-abelian categories. I. Derived categories”, Algebra i Analiz, 4:1 (1992), 98–119 ; St. Petersburg Math. J., 4:1 (1993), 93–113 |
4
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1991 |
77. |
A. I. Generalov, “Algebraically compact modules and relative homological algebra
over tame hereditary algebras”, Algebra Logika, 30:3 (1991), 259–292 |
2
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1990 |
78. |
A. I. Generalov, “Relative Grothendieck groups and exact sequences over tame hereditary algebras”, Algebra i Analiz, 2:1 (1990), 47–72 ; Leningrad Math. J., 2:1 (1991), 41–63 |
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1988 |
79. |
A. I. Generalov, “The Kuz'minov formula”, Sibirsk. Mat. Zh., 29:4 (1988), 202–204 ; Siberian Math. J., 29:4 (1988), 682–684 |
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1986 |
80. |
A. I. Generalov, “Inductively closed proper classes over bounded $hnp$-rings”, Algebra Logika, 25:4 (1986), 384–404 |
2
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1983 |
81. |
A. I. Generalov, “The $\omega$-Cohigh purity in a category of modules”, Mat. Zametki, 33:5 (1983), 785–796 ; Math. Notes, 33:5 (1983), 402–408 |
4
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82. |
A. I. Generalov, “Inductive purities in a category of modules”, Sibirsk. Mat. Zh., 24:4 (1983), 201–205 |
1
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1979 |
83. |
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 ; Math. USSR-Sb., 37:1 (1980), 71–82 |
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1978 |
84. |
A. I. Generalov, “On weak and $\omega$-high purity in the category of modules”, Mat. Sb. (N.S.), 105(147):3 (1978), 389–402 ; Math. USSR-Sb., 34:3 (1978), 345–356 |
3
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1972 |
85. |
A. I. Generalov, “On the definition of purity of modules”, Mat. Zametki, 11:4 (1972), 375–380 ; Math. Notes, 11:4 (1972), 232–235 |
3
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2022 |
86. |
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 |
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2020 |
87. |
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 |
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2015 |
88. |
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 ; St. Petersburg Math. J., 27:6 (2016), 861–862 |
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2000 |
89. |
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 ; J. Math. Sci. (N. Y.), 116:1 (2003), 2883–2886 |
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