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Gainov, Alexei Timofeevich
Statistics Math-Net.Ru
Total publications: 31
Scientific articles: 30

Number of views:
This page:608
Abstract pages:3384
Full texts:1303
References:240
Professor
Candidate of physico-mathematical sciences (1961)
Birth date: 26.02.1929
E-mail:
Keywords: nonassociative rings; composition algebras; binary Lie algebras; nilpotent subalgebras.

Biography

Graduated from Faculty of Physics and Mathematics of Ivanovo State Pedagogical Institute in 1953 (department of high algebra). Ph.D. thesis was defended in 1956, the scientific chief was A.I.Maltsev. A list of my works contains 72 titles
   
Main publications:
  • Gainov A. T. Tozhdestvennye sootnosheniya dlya binarno lievykh kolets // UMN, 1957, 12 (3), 141–146.
  • Gainov A. T. Monokompozitsionnye algebry // Sib. matem. zhurn., 1969, 10 (1), 3–30.
  • Gainov A. T. Izomorfizmy konechnomernykh nevyrozhdennykh monokompozitsionnykh algebr // Matem. zametki, 1979, 25 (6), 801–809.
  • Gainov A. T. Maksimalnye prostranstva kososimmetricheskikh i simmetricheskikh antikommutiruyuschikh matrits // Sib. matem. zhurn., 1991, 32 (6), 30—41.

https://www.mathnet.ru/eng/person17926
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/251408

Publications in Math-Net.Ru Citations
2010
1. A. T. Gainov, “An independent system of identities for a variety of mono-Leibniz algebras”, Algebra Logika, 49:2 (2010),  175–180  mathnet  mathscinet  zmath; Algebra and Logic, 49:2 (2010), 115–119  isi  scopus 4
2007
2. A. T. Gainov, “Composition algebras of the second kind”, Algebra Logika, 46:4 (2007),  428–447  mathnet  mathscinet  zmath; Algebra and Logic, 46:4 (2007), 231–243  isi  scopus
2005
3. A. T. Gainov, “The orthogonal automorphism groups $\operatorname{Ortaut}A$ for $\mathbb Z_3$-orthograded quasimonocomposition algebras $A$ of dimension $9$ satisfying the conditions $\dim A_0=1$, $A_1A_2=0$”, Sib. Èlektron. Mat. Izv., 2 (2005),  200–203  mathnet  mathscinet  zmath
4. A. T. Gainov, “$\mathbb Z_3$-orthograded quasimonocomposition algebras with one-dimensional null component”, Sib. Èlektron. Mat. Izv., 2 (2005),  141–144  mathnet  mathscinet  zmath 1
2002
5. A. T. Gainov, “$Z_n$-Orthograded Monocomposition Algebras”, Algebra Logika, 41:1 (2002),  57–69  mathnet  mathscinet  zmath; Algebra and Logic, 41:1 (2002), 30–38  scopus 1
1998
6. A. T. Gainov, “Maximal annihilating spaces of symmetric and skew-symmetric matrices”, Algebra Logika, 37:3 (1998),  291–300  mathnet  mathscinet
1996
7. A. T. Gainov, “On finite-dimensional special monocomposition algebras”, Algebra Logika, 35:2 (1996),  125–144  mathnet  mathscinet
1992
8. A. T. Gainov, “Semi-orthogonal sum of monocomposition algebras with identity”, Algebra Logika, 31:4 (1992),  391–406  mathnet  mathscinet 2
1991
9. A. T. Gainov, “Maximal spaces of skew-symmetric and symmetric anticommuting matrices”, Sibirsk. Mat. Zh., 32:6 (1991),  30–41  mathnet  mathscinet  zmath; Siberian Math. J., 32:6 (1991), 924–933  isi 1
1989
10. A. T. Gainov, “Anticommuting matrices and their application to monocompositional algebras”, Sibirsk. Mat. Zh., 30:6 (1989),  58–64  mathnet  mathscinet  zmath; Siberian Math. J., 30:6 (1989), 877–882  isi 1
1988
11. A. T. Gainov, “Symmetric subalgebras of monocomposition algebras”, Algebra Logika, 27:5 (1988),  503–526  mathnet  mathscinet 2
1986
12. A. T. Gainov, “Orthogonal isotopes of monocomposition algebras”, Algebra Logika, 25:6 (1986),  619–630  mathnet  mathscinet
1981
13. A. T. Gainov, “Semisimple monocomposition algebras”, Algebra Logika, 20:2 (1981),  127–137  mathnet  mathscinet
1979
14. A. T. Gainov, “Orthogonal sums of nondegenerate algebras with identity”, Algebra Logika, 18:6 (1979),  637–647  mathnet  mathscinet
15. A. T. Gainov, “Isomorphisms of finite-dimensional nondegenerate monocomposition algebras”, Mat. Zametki, 25:6 (1979),  801–810  mathnet  mathscinet  zmath; Math. Notes, 25:6 (1979), 415–419  isi 2
1977
16. A. T. Gainov, “Derivations of monocomposition algebras”, Algebra Logika, 16:6 (1977),  629–636  mathnet  mathscinet
1976
17. A. T. Gainov, “Subalgebras of nondegenerate commutative KM-algebras”, Algebra Logika, 15:4 (1976),  371–383  mathnet  mathscinet
1975
18. A. T. Gainov, “Solvable quasimonocomposition algebras”, Sibirsk. Mat. Zh., 16:3 (1975),  634–638  mathnet  mathscinet  zmath; Siberian Math. J., 16:3 (1975), 491–494  isi
1972
19. A. T. Gainov, “Monocomposition power-associative algebras”, Algebra Logika, 11:1 (1972),  39–58  mathnet  mathscinet
1971
20. A. T. Gainov, “Some classes of monocomposition algebras”, Dokl. Akad. Nauk SSSR, 201:1 (1971),  19–21  mathnet  mathscinet  zmath 1
1970
21. A. T. Gainov, “Power associative algebras over a field of finite characteristic”, Algebra Logika, 9:1 (1970),  9–33  mathnet  mathscinet
1969
22. A. T. Gainov, “Binary Lie algebras of characteristic $2$”, Algebra Logika, 8:5 (1969),  505–522  mathnet  mathscinet
23. A. T. Gainov, “Simple monocomposition algebras”, Sibirsk. Mat. Zh., 10:5 (1969),  1006–1022  mathnet  mathscinet  zmath; Siberian Math. J., 10:5 (1969), 740–753 1
24. A. T. Gainov, “Monocomposition algebras”, Sibirsk. Mat. Zh., 10:1 (1969),  3–30  mathnet  mathscinet  zmath; Siberian Math. J., 10:1 (1969), 1–21 3
1963
25. A. T. Gainov, “Alternative algebras of rank 3 and 4”, Algebra i Logika. Sem., 2:4 (1963),  41–46  mathnet  mathscinet
26. A. T. Gainov, “Binary Lie algebras of lower ranks”, Algebra i Logika. Sem., 2:4 (1963),  21–40  mathnet  mathscinet 1
27. A. T. Gainov, “Derivations of reduced free algebras”, Algebra i Logika. Sem., 1:6 (1963),  20–25  mathnet  mathscinet 1
1962
28. A. T. Gainov, “Free commutative and free anti-commutative products of algebras”, Sibirsk. Mat. Zh., 3:6 (1962),  805–833  mathnet  mathscinet  zmath 6
1960
29. A. T. Gainov, “Free commutative and free anticommutative products of algebras”, Dokl. Akad. Nauk SSSR, 133:6 (1960),  1275–1278  mathnet  mathscinet  zmath 2
1957
30. A. T. Gainov, “Identical relations for binary Lie rings”, Uspekhi Mat. Nauk, 12:3(75) (1957),  141–146  mathnet  mathscinet  zmath 8
1989
31. A. T. Gainov, S. S. Goncharov, Yu. L. Ershov, D. A. Zakharov, E. N. Kuz'min, L. L. Maksimova, Yu. I. Merzlyakov, D. M. Smirnov, A. D. Taimanov, V. K. Kharchenko, E. I. Khukhro, “On the eightieth anniversary of the birth of the outstanding Soviet mathematician and academician A. I. Mal'tsev”, Algebra Logika, 28:6 (1989),  615–618  mathnet  mathscinet

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