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Plotkin, Boris Isaakovich
Statistics Math-Net.Ru
Total publications: 63
Scientific articles: 54

Number of views:
This page:3866
Abstract pages:16728
Full texts:8722
References:817
Professor
Doctor of physico-mathematical sciences (1956)
Birth date: 21.10.1925
E-mail:

https://www.mathnet.ru/eng/person22324
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/192090

Publications in Math-Net.Ru Citations
2020
1. A. Gvaramia, B. Plotkin, E. Plotkin, “Universal algebraic geometry: syntax and semantics”, Fundam. Prikl. Mat., 23:2 (2020),  75–88  mathnet; J. Math. Sci., 262:5 (2022), 642–651
2015
2. B. Plotkin, E. Plotkin, G. Zhitomirskii, “Type of a point in Universal Geometry and in Model Theory”, Algebra Discrete Math., 19:1 (2015),  87–100  mathnet  mathscinet  isi 2
3. E. Aladova, A. Gvaramia, B. Plotkin, E. Plotkin, T. Plotkin, “Logically-geometrical similarity for algebras and models with the same identities”, Tr. Inst. Mat., 23:2 (2015),  112–122  mathnet
2014
4. E. Aladova, A. Gvaramia, B. Plotkin, T. Plotkin, “Multi-sorted logic, models, and logical geometry”, Fundam. Prikl. Mat., 19:3 (2014),  5–22  mathnet  mathscinet; J. Math. Sci., 214:6 (2016), 742–754  scopus 1
2012
5. E. Aladova, A. A. Gvaramiya, B. I. Plotkin, “Logic in representations of groups”, Algebra Logika, 51:1 (2012),  3–40  mathnet  mathscinet  zmath; Algebra and Logic, 51:1 (2012), 1–27  isi  scopus
6. B. Plotkin, T. Plotkin, “Cascade connections and triangular products of linear automata”, Fundam. Prikl. Mat., 17:7 (2012),  175–186  mathnet; J. Math. Sci., 197:4 (2014), 565–572  scopus
2011
7. B. I. Plotkin, “Isotyped Algebras”, Sovrem. Probl. Mat., 15 (2011),  40–66  mathnet  elib; Proc. Steklov Inst. Math., 278, suppl. 1 (2012), S91–S115  isi  scopus 10
2009
8. A. A. Gvaramia, B. I. Plotkin, “On linear representations of quasigroups”, Fundam. Prikl. Mat., 15:3 (2009),  113–118  mathnet  mathscinet; J. Math. Sci., 168:1 (2010), 76–79  scopus
2008
9. E. Aladova, B. Plotkin, “PI-groups and PI-representations of groups”, Fundam. Prikl. Mat., 14:7 (2008),  3–13  mathnet  mathscinet  elib; J. Math. Sci., 164:2 (2010), 155–162  scopus 1
2007
10. B. Plotkin, G. Zhitomirski, “Some logical invariants of algebras and logical relations between algebras”, Algebra i Analiz, 19:5 (2007),  214–245  mathnet  mathscinet  zmath; St. Petersburg Math. J., 19:5 (2008), 829–852  isi 18
11. B. Plotkin, “Locicaly separable algebras in varieties of algebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2007, no. 2,  33–42  mathnet  mathscinet  zmath
2006
12. B. I. Plotkin, “Geometrical equivalence, geometrical similarity, and geometrical compatibility of algebras”, Zap. Nauchn. Sem. POMI, 330 (2006),  201–222  mathnet  mathscinet  zmath; J. Math. Sci. (N. Y.), 140:5 (2007), 716–728  scopus 6
2005
13. B. Plotkin, A. Tsurkov, “Action type geometrical equivalence of representations of groups”, Algebra Discrete Math., 2005, no. 4,  48–79  mathnet  mathscinet  zmath 10
14. A. A. Gvaramiya, B. I. Plotkin, “Action-type axiomatizable classes of group representations”, Fundam. Prikl. Mat., 11:2 (2005),  73–85  mathnet  mathscinet  zmath; J. Math. Sci., 142:2 (2007), 1915–1922  scopus 1
2004
15. B. I. Plotkin, “Problems in algebra inspired by universal algebraic geometry”, Fundam. Prikl. Mat., 10:3 (2004),  181–197  mathnet  mathscinet  zmath  elib; J. Math. Sci., 139:4 (2006), 6780–6791  elib  scopus 11
2003
16. B. I. Plotkin, “Algebras with the Same (Algebraic) Geometry”, Trudy Mat. Inst. Steklova, 242 (2003),  176–207  mathnet  mathscinet  zmath; Proc. Steklov Inst. Math., 242 (2003), 165–196 43
1997
17. B. I. Plotkin, “Some concepts of algebraic geometry in universal algebra”, Algebra i Analiz, 9:4 (1997),  224–248  mathnet  mathscinet  zmath; St. Petersburg Math. J., 9:4 (1998), 859–879 43
1996
18. T. L. Plotkin, B. I. Plotkin, S. Kraus, “Algebraic logic in database state description”, Fundam. Prikl. Mat., 2:3 (1996),  875–910  mathnet  mathscinet  zmath
1979
19. B. I. Plotkin, “Varieties in representations of finite groups. Locally stable varieties. Matrix groups and varieties of representations”, Uspekhi Mat. Nauk, 34:4(208) (1979),  65–95  mathnet  mathscinet  zmath; Russian Math. Surveys, 34:4 (1979), 69–103 1
1977
20. B. I. Plotkin, “Varieties of group representations”, Uspekhi Mat. Nauk, 32:5(197) (1977),  3–68  mathnet  mathscinet  zmath; Russian Math. Surveys, 32:5 (1977), 1–72 6
1975
21. B. I. Plotkin, C. E. Dididze, E. M. Kublanova, “On varieties of automata”, Dokl. Akad. Nauk SSSR, 221:6 (1975),  1284–1287  mathnet  mathscinet  zmath 1
1974
22. B. I. Plotkin, L. E. Krop, L. A. Simonyan, “Some connections between group varieties and varieties of group representations”, Dokl. Akad. Nauk SSSR, 219:5 (1974),  1072–1075  mathnet  mathscinet  zmath 1
23. L. E. Krop, B. I. Plotkin, “Magnus varieties in group representations”, Mat. Sb. (N.S.), 95(137):4(12) (1974),  499–524  mathnet  mathscinet  zmath; Math. USSR-Sb., 24:4 (1974), 487–510 2
1973
24. B. I. Plotkin, “Remarks on stable representations of nilpotent groups”, Tr. Mosk. Mat. Obs., 29 (1973),  191–206  mathnet  mathscinet  zmath 1
1972
25. B. I. Plotkin, “On a semigroup of manifolds connected with group representations”, Dokl. Akad. Nauk SSSR, 203:2 (1972),  293–296  mathnet  mathscinet  zmath 1
26. B. I. Plotkin, “Varieties of groups, and varieties of pairs that are connected with representations of groups”, Sibirsk. Mat. Zh., 13:5 (1972),  1030–1053  mathnet  mathscinet  zmath; Siberian Math. J., 13:5 (1972), 713–729 3
27. B. I. Plotkin, A. S. Grinberg, “Semigroups of varieties that are connected with group representations”, Sibirsk. Mat. Zh., 13:4 (1972),  841–858  mathnet  mathscinet  zmath; Siberian Math. J., 13:4 (1972), 585–596 6
1971
28. B. I. Plotkin, “Varieties and quasivarieties connected with representations of groups”, Dokl. Akad. Nauk SSSR, 196:3 (1971),  527–530  mathnet  zmath 4
29. B. I. Plotkin, “General group theory”, Itogi Nauki. Ser. Mat. Algebra. Topol. Geom. 1970, 1971,  5–73  mathnet  mathscinet  zmath; J. Soviet Math., 1:5 (1973), 527–570 1
1969
30. B. I. Plotkin, “The semigroup of radical classes of groups”, Sibirsk. Mat. Zh., 10:5 (1969),  1091–1108  mathnet  mathscinet  zmath; Siberian Math. J., 10:5 (1969), 805–817
1968
31. B. I. Plotkin, “On semisimple groups”, Sibirsk. Mat. Zh., 9:3 (1968),  623–631  mathnet  mathscinet  zmath; Siberian Math. J., 9:3 (1968), 468–473
1965
32. B. I. Plotkin, Sh. S. Kemkhadze, “A scheme for constructing radicals in groups”, Sibirsk. Mat. Zh., 6:5 (1965),  1197–1201  mathnet  mathscinet  zmath
1963
33. B. I. Plotkin, “On infinite-dimensional linear groups”, Dokl. Akad. Nauk SSSR, 153:1 (1963),  42–45  mathnet  mathscinet  zmath
34. B. I. Plotkin, “$\Omega$-semigroups, $\Omega$-rings and representations”, Dokl. Akad. Nauk SSSR, 149:5 (1963),  1037–1040  mathnet  mathscinet  zmath 2
35. B. I. Plotkin, “Some questions in the general theory of group representations”, Izv. Akad. Nauk SSSR Ser. Mat., 27:4 (1963),  855–882  mathnet  mathscinet  zmath
36. B. I. Plotkin, “Generalized stable and generalized nilpotent groups of automorphisms”, Sibirsk. Mat. Zh., 4:6 (1963),  1389–1403  mathnet  mathscinet  zmath
1962
37. B. I. Plotkin, “Radicals associated with group representations”, Dokl. Akad. Nauk SSSR, 144:1 (1962),  52–55  mathnet  mathscinet  zmath
38. B. I. Plotkin, “On certain radicals of automorphism groups”, Uspekhi Mat. Nauk, 17:4(106) (1962),  165–171  mathnet  mathscinet  zmath
1961
39. B. I. Plotkin, “Radicals in group pairs”, Dokl. Akad. Nauk SSSR, 140:5 (1961),  1019–1022  mathnet  mathscinet  zmath
40. B. I. Plotkin, “Some properties of automorphisms of nilpotent groups”, Dokl. Akad. Nauk SSSR, 137:6 (1961),  1303–1306  mathnet  mathscinet  zmath
41. B. I. Plotkin, “Normal divisors which bound a group”, Mat. Sb. (N.S.), 53(95):3 (1961),  343–352  mathnet  mathscinet  zmath
42. B. I. Plotkin, “Locally stable groups of automorphisms”, Sibirsk. Mat. Zh., 2:1 (1961),  100–114  mathnet  mathscinet  zmath
1960
43. B. I. Plotkin, V. G. Vilyatser, “On the theory of locally stable groups of automorphisms”, Dokl. Akad. Nauk SSSR, 134:3 (1960),  529–532  mathnet  mathscinet  zmath
44. B. I. Plotkin, “On a radical of automorphism groups of a group, with maximality condition”, Dokl. Akad. Nauk SSSR, 130:5 (1960),  977–980  mathnet  mathscinet  zmath
1958
45. B. I. Plotkin, “Radicals and nil elements in groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 1958, no. 1,  130–135  mathnet  mathscinet  zmath 1
46. B. I. Plotkin, “Algebraic sets of elements in groups and Lie algebras”, Uspekhi Mat. Nauk, 13:6(84) (1958),  133–138  mathnet  mathscinet  zmath 11
47. B. I. Plotkin, “Generalized solvable and generalized nilpotent groups”, Uspekhi Mat. Nauk, 13:4(82) (1958),  89–172  mathnet  mathscinet  zmath 5
48. B. I. Plotkin, “On certain classes of infinite groups”, Uspekhi Mat. Nauk, 13:1(79) (1958),  189–192  mathnet  mathscinet  zmath
1957
49. B. I. Plotkin, “Radical and semi-simple groups”, Tr. Mosk. Mat. Obs., 6 (1957),  299–336  mathnet  mathscinet  zmath 5
1955
50. B. I. Plotkin, “Radical groups”, Mat. Sb. (N.S.), 37(79):3 (1955),  507–526  mathnet  mathscinet  zmath 6
51. B. I. Plotkin, “On the theory of solvable groups without torsion”, Mat. Sb. (N.S.), 36(78):1 (1955),  31–38  mathnet  mathscinet  zmath
1954
52. B. I. Plotkin, “On some criteria of locally nilpotent groups”, Uspekhi Mat. Nauk, 9:3(61) (1954),  181–186  mathnet  mathscinet  zmath 3
53. P. G. Kontorovich, B. I. Plotkin, “Lattices with an additive basis”, Mat. Sb. (N.S.), 35(77):1 (1954),  187–192  mathnet  mathscinet  zmath 3
1952
54. B. I. Plotkin, “On the theory of noncommutative groups without torsion”, Mat. Sb. (N.S.), 30(72):1 (1952),  197–212  mathnet  mathscinet  zmath
2015
55. N. A. Vavilov, A. Kh. Zhurtov, A. S. Kondrat'ev, A. G. Kusraev, V. M. Levchuk, V. D. Mazurov, A. A. Makhnev, Ya. N. Nuzhin, U. M. Pachev, B. I. Plotkin, N. S. Romanovskii, “Koibaev Vladimir Amurkhanovich (on his 60th birthday)”, Vladikavkaz. Mat. Zh., 17:2 (2015),  68–70  mathnet
2012
56. B. Plotkin, “Sergei Nikolaevich Chernikov. Memoirs”, Algebra Discrete Math., 14:1 (2012),  C–H  mathnet  mathscinet  zmath
1987
57. V. D. Belousov, S. D. Berman, E. S. Lyapin, A. V. Mikhalev, B. V. Novikov, B. I. Plotkin, L. A. Skornyakov, L. N. Shevrin, “Lazar' Matveevich Gluskin (obituary)”, Uspekhi Mat. Nauk, 42:4(256) (1987),  113–114  mathnet  mathscinet; Russian Math. Surveys, 42:4 (1987), 139–140  isi 1
1973
58. V. A. Andrunakievič, T. M. Baranovič, V. D. Belousov, S. D. Berman, L. M. Gluskin, O. N. Golovin, S. T. Zavalo, L. A. Kaluzhnin, B. I. Plotkin, L. E. Sadovskiĭ, L. A. Skornyakov, D. Souprounenko, L. N. Shevrin, A. L. Shmel'kin, “In memoriam Aleksandr Gennadievič Kuroš. (January 19, 1908 – May 18, 1971).”, Tr. Mosk. Mat. Obs., 29 (1973),  3–18  mathnet  mathscinet 1
1972
59. P. S. Aleksandrov, T. M. Baranovich, O. N. Golovin, B. I. Plotkin, “Aleksandr Gennadievich Kurosh (obituary)”, Uspekhi Mat. Nauk, 27:1(163) (1972),  211–226  mathnet  mathscinet  zmath; Russian Math. Surveys, 27:1 (1972), 176–193 1
1968
60. A. G. Kurosh, B. I. Plotkin, N. F. Sesekin, L. N. Shevrin, “Petr Grigor'evich Kontorovich (obituary)”, Uspekhi Mat. Nauk, 23:4(142) (1968),  239–240  mathnet  mathscinet  zmath; Russian Math. Surveys, 23:4 (1968), 179–180
61. B. I. Plotkin, L. A. Simonyan, “Eighth All-Union Colloquium on General Algebra”, Uspekhi Mat. Nauk, 23:2(140) (1968),  234–236  mathnet
62. P. S. Aleksandrov, B. I. Plotkin, L. A. Skornyakov, “Aleksandr Gennadievich Kurosh (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 23:2(140) (1968),  219–228  mathnet  zmath; Russian Math. Surveys, 23:2 (1968), 189–197 1
1965
63. A. I. Mal'tsev, B. I. Plotkin, “Petr Grigor'evich Kontorovich (on his sixtieth birthday)”, Uspekhi Mat. Nauk, 20:4(124) (1965),  209–212  mathnet  zmath; Russian Math. Surveys, 20:4 (1965), 107–110 1

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