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Grishin, Aleksandr Vladimirovich

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Total publications: 38
Scientific articles: 36

Number of views:
This page:2105
Abstract pages:17677
Full texts:5855
References:2050
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https://www.mathnet.ru/eng/person9080
List of publications on Google Scholar
https://mathscinet.ams.org/mathscinet/MRAuthorID/217673

Publications in Math-Net.Ru Citations
2021
1. A. V. Grishin, L. M. Tsybulya, “On the torsion in the general linear group and the diagonalization algorithm”, Fundam. Prikl. Mat., 23:4 (2021),  55–71  mathnet; J. Math. Sci., 269:4 (2023), 479–491 1
2020
2. A. V. Grishin, “The asymptotic approach to the description of the center of a relatively free Lie-nilpotent algebra”, Fundam. Prikl. Mat., 23:3 (2020),  83–94  mathnet; J. Math. Sci., 269:3 (2023), 322–330
3. A. V. Grishin, “Asymptotic Behavior in Lie Nilpotent Relatively Free Algebras and Extended Grassmann Algebras”, Mat. Zametki, 107:6 (2020),  848–854  mathnet  mathscinet  elib; Math. Notes, 107:6 (2020), 933–938  isi  scopus
2019
4. A. V. Grishin, “On the measure of inclusion in relatively free algebras with the identity of Lie nilpotency of degree 3 or 4”, Mat. Sb., 210:2 (2019),  75–86  mathnet  mathscinet  zmath  elib; Sb. Math., 210:2 (2019), 234–244  isi  scopus 4
2018
5. A. V. Grishin, “Asymptotics of the Codimensions $c_n$ in the Algebra $F^{(7)}$”, Mat. Zametki, 104:1 (2018),  25–32  mathnet  mathscinet  elib; Math. Notes, 104:1 (2018), 22–28  isi  scopus 3
2016
6. A. V. Grishin, “On the additive structure and asymptotics of codimensions $c_n$ in the algebra $F^{(5)}$”, Fundam. Prikl. Mat., 21:1 (2016),  93–104  mathnet  elib; J. Math. Sci., 233:5 (2018), 666–674  scopus 4
7. A. V. Grishin, S. V. Pchelintsev, “Proper central and core polynomials of relatively free associative algebras with identity of Lie nilpotency of degrees 5 and 6”, Mat. Sb., 207:12 (2016),  54–72  mathnet  mathscinet  zmath  elib; Sb. Math., 207:12 (2016), 1674–1692  isi  scopus 14
2015
8. A. V. Grishin, S. V. Pchelintsev, “On centres of relatively free associative algebras with a Lie nilpotency identity”, Mat. Sb., 206:11 (2015),  113–130  mathnet  mathscinet  zmath  elib; Sb. Math., 206:11 (2015), 1610–1627  isi  scopus 23
2014
9. A. V. Grishin, “On strong indecomposability of the Dedekind ring localization”, Fundam. Prikl. Mat., 19:2 (2014),  43–49  mathnet  mathscinet; J. Math. Sci., 213:2 (2016), 158–162  scopus
2012
10. A. V. Grishin, “On $T$-spaces in a relatively free two-generated Lie nilpotent associative algebra of index $4$”, Fundam. Prikl. Mat., 17:4 (2012),  133–139  mathnet; J. Math. Sci., 191:5 (2013), 686–690  scopus 3
11. A. V. Grishin, A. V. Tsarev, “$\mathcal E$-closed groups and modules”, Fundam. Prikl. Mat., 17:2 (2012),  97–106  mathnet; J. Math. Sci., 186:4 (2012), 592–598  scopus 6
12. A. V. Grishin, “On the Center of a Relatively Free Lie-Nilpotent Algebra of Index $4$”, Mat. Zametki, 91:1 (2012),  147–148  mathnet  mathscinet  elib; Math. Notes, 91:1 (2012), 139–140  isi  elib  scopus 4
2010
13. A. V. Grishin, L. M. Tsybulya, A. A. Shokola, “On $T$-spaces and relations in relatively free, Lie nilpotent, associative algebras”, Fundam. Prikl. Mat., 16:3 (2010),  135–148  mathnet  mathscinet  elib; J. Math. Sci., 177:6 (2011), 868–877  scopus 15
14. A. V. Grishin, “On the structure of the centre of a relatively free Grassmann algebra”, Uspekhi Mat. Nauk, 65:4(394) (2010),  191–192  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 65:4 (2010), 781–782  isi  elib  scopus 12
2009
15. A. V. Grishin, L. M. Tsybulya, “On the structure of a relatively free Grassmann algebra”, Fundam. Prikl. Mat., 15:8 (2009),  3–93  mathnet  mathscinet  elib; J. Math. Sci., 171:2 (2010), 149–212  scopus 7
16. A. V. Grishin, L. M. Tsybulya, “On the multiplicative and $T$-space structure of the relatively free Grassmann algebra”, Mat. Sb., 200:9 (2009),  41–80  mathnet  mathscinet  zmath  elib; Sb. Math., 200:9 (2009), 1299–1338  isi  elib  scopus 12
2008
17. A. V. Grishin, “On independent systems in unitary relatively free algebras”, Fundam. Prikl. Mat., 14:8 (2008),  69–71  mathnet  mathscinet; J. Math. Sci., 166:5 (2010), 613–614  scopus 1
18. A. V. Grishin, “On T-spaces and related concepts and results”, Fundam. Prikl. Mat., 14:5 (2008),  77–84  mathnet  mathscinet; J. Math. Sci., 163:6 (2009), 677–681  scopus 1
19. A. V. Grishin, L. M. Tsybulya, “Two theorems on the structure of a relatively free Grassmann algebra”, Uspekhi Mat. Nauk, 63:4(382) (2008),  181–182  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 63:4 (2008), 782–784  isi  elib  scopus 5
2007
20. A. V. Grishin, L. M. Surmina, “On $T$-spaces of $n$-words over a field of characteristic $p>0$”, Uspekhi Mat. Nauk, 62:4(376) (2007),  145–146  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 62:4 (2007), 802–803  isi  elib  scopus 5
2005
21. A. V. Grishin, “Structural and algorithmic problems in $T$-spaces over a field of characteristic $p>0$”, Uspekhi Mat. Nauk, 60:3(363) (2005),  175–176  mathnet  mathscinet  elib; Russian Math. Surveys, 60:3 (2005), 568–569  isi  elib  scopus 1
2004
22. A. V. Grishin, “On the level of representability relative to free associative algebras”, Uspekhi Mat. Nauk, 59:4(358) (2004),  193–194  mathnet  mathscinet  zmath; Russian Math. Surveys, 59:4 (2004), 794–795  isi  scopus
23. A. V. Grishin, “Model algebras, multiplicities, and representability indices of varieties of associative algebras”, Mat. Sb., 195:1 (2004),  3–20  mathnet  mathscinet  zmath; Sb. Math., 195:1 (2004), 1–18  isi  scopus 1
2003
24. A. V. Grishin, “Multiplicities and indices of representability of non-matrix varieties of algebras”, Uspekhi Mat. Nauk, 58:6(354) (2003),  143–144  mathnet  mathscinet  zmath  elib; Russian Math. Surveys, 58:6 (2003), 1198–1199  isi  scopus
2002
25. A. V. Grishin, “Index of representability of a variety of associative algebras”, Uspekhi Mat. Nauk, 57:4(346) (2002),  169–170  mathnet  mathscinet  zmath; Russian Math. Surveys, 57:4 (2002), 805–806  isi  scopus 2
26. A. V. Grishin, “An application of generalized polynomials to the estimation of the multiplicity of certain varieties of associative algebras”, Mat. Sb., 193:3 (2002),  25–36  mathnet  mathscinet  zmath  elib; Sb. Math., 193:3 (2002), 333–344  isi  scopus 2
2001
27. A. V. Grishin, “On the existence of a finite basis in a $T$-space of generalized polynomials and on representability”, Uspekhi Mat. Nauk, 56:4(340) (2001),  133–134  mathnet  mathscinet  zmath; Russian Math. Surveys, 56:4 (2001), 755  isi  scopus 4
1999
28. A. V. Grishin, “Examples of T-spaces and T-ideals over a field of characteristic 2 without the finite basis property”, Fundam. Prikl. Mat., 5:1 (1999),  101–118  mathnet  mathscinet  zmath 55
29. A. V. Grishin, “The variety of associative rings is not a Specht variety”, Uspekhi Mat. Nauk, 54:5(329) (1999),  157–158  mathnet  mathscinet  zmath; Russian Math. Surveys, 54:5 (1999), 1025–1026  isi  scopus 4
1995
30. A. V. Grishin, “On the finite basis property of abstract $T$-spaces”, Fundam. Prikl. Mat., 1:3 (1995),  669–700  mathnet  mathscinet  zmath 28
1990
31. A. V. Grishin, “On finitely based systems of generalized polynomials”, Izv. Akad. Nauk SSSR Ser. Mat., 54:5 (1990),  899–927  mathnet  mathscinet  zmath; Math. USSR-Izv., 37:2 (1991), 243–272 22
1987
32. A. V. Grishin, “The growth exponent of a variety of algebras and its applications”, Algebra Logika, 26:5 (1987),  536–557  mathnet  mathscinet 11
1986
33. A. V. Grishin, “On the solvability of certain problems of supersonic flow around a wedge within the framework of the Lavrent'ev–Bitsadze approximation”, Zh. Vychisl. Mat. Mat. Fiz., 26:12 (1986),  1868–1877  mathnet  mathscinet  zmath; U.S.S.R. Comput. Math. Math. Phys., 26:6 (1986), 173–179
1983
34. A. V. Grishin, “Asymptotic properties of free finitely generated algebras in certain varieties”, Algebra Logika, 22:6 (1983),  608–625  mathnet  mathscinet 9
1973
35. A. V. Grishin, “The multiplicative group of a field”, Uspekhi Mat. Nauk, 28:6(174) (1973),  201–202  mathnet  mathscinet  zmath 1
36. A. V. Grishin, “On the theory of intersection at a normal point of an algebraic surface”, Uspekhi Mat. Nauk, 28:5(173) (1973),  235–236  mathnet  mathscinet  zmath

2020
37. N. M. Adrianov, V. A. Artamonov, I. N. Balaba, Yu. A. Bahturin, L. A. Bokut', V. V. Borisenko, E. I. Bunina, S. A. Gaifullin, S. T. Glavatsky, I. Z. Golubchik, S. González, A. V. Grishin, A. È. Guterman, N. I. Dubrovin, M. V. Zaicev, E. I. Zel'manov, N. K. Il'ina, A. Ya. Kanel-Belov, A. L. Kanunnikov, E. S. Kislitsyn, A. A. Klyachko, I. B. Kozhukhov, E. M. Kreines, O. V. Kulikova, T. P. Lukashenko, O. V. Markova, C. Martínez, A. A. Mikhalev, A. V. Mikhalev, A. Yu. Ol'shanskii, A. E. Pentus, A. V.A. Petrov, Yu. G. Prokhorov, S. V. Pchelintsev, V. V. Tenzina, D. A. Timashev, A. A. Tuganbaev, I. N. Tumaikin, V. K. Kharchenko, I. A. Chubarov, A. A. Shafarevich, A. I. Shafarevich, I. P. Shestakov, E. E. Shirshova, V. É. Shpil'rain, “Viktor Timofeevich Markov (21.06.1948—15.07.2019)”, Fundam. Prikl. Mat., 23:2 (2020),  3–16  mathnet; J. Math. Sci., 262:5 (2022), 592–602
2019
38. V. N. Chubarikov, N. M. Dobrovolsky, V. A. Artamonov, A. V. Mikhalev, V. N. Latyshev, Yu. V. Nesterenko, A. Ya. Belov, A. V. Grishin, E. I. Kompantseva, A. V. Tsarev, E. I. Deza, P. A. Krylov, A. A. Tuganbaev, “Alexander Alexandrovich Fomin (to the 70th anniversary)”, Chebyshevskii Sb., 20:2 (2019),  579–582  mathnet

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