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Pikhtilkov, Sergrey Alekseevich
Statistics Math-Net.Ru
Total publications: 23
Scientific articles: 23

Number of views:
This page:1076
Abstract pages:7197
Full texts:2498
References:1001
Professor
Doctor of physico-mathematical sciences (2004)
Speciality: 01.01.00 (Mathematics)
Birth date: 2.03.1953
E-mail:
Website: https://home.tula.net/gslie
Keywords: structure theory, special Lie algebra, prime radical.
UDC: 512.554.32, 512.554.34, 512.554.36, 512.552, 512.36, 512.34
MSC: 17B01, 17B05, 17B60, 17B65, 17B70, 37K30

Subject:

The Structure Theory of special Lie algebras.
   
Main publications:
  1. Pikhtilkov S.A., “O spetsialnykh algebrakh Li”, Uspekhi matem. nauk, 36:6 (1981), 225–226  mathnet  mathscinet  zmath
  2. Beidar K.I., Pikhtilkov S.A., “Pervichnyi radikal spetsialnykh algebr Li”, Fundamentalnaya i prikladnaya matematika, 6:3 (2000), 643–648  mathnet  mathscinet  zmath
  3. Beidar K.I., Zaitsev M.V., Pikhtilkov S.A., “Algebry Li s usloviem maksimalnosti na abelevy podalgebry”, Vestnik MGU. Ser. 1. Matem., mekh., 2002, № 5, 27–32  mathscinet  zmath
  4. Latyshev V.N., Mikhalev A.V., Pikhtilkov S.A., “O summe lokalno razreshimykh idealov algebr Li”, Vestnik MGU. Ser. 1. Matem., mekh., 2003, № 3, 29–32  mathscinet  zmath
  5. Pikhtilkov S.A., Strukturnaya teoriya spetsialnykh algebr Li, Izdatelstvo TGPU im. L. N. Tolstogo, Tula, 2005

https://www.mathnet.ru/eng/person17821
List of publications on Google Scholar
List of publications on ZentralBlatt
https://mathscinet.ams.org/mathscinet/MRAuthorID/250773

Publications in Math-Net.Ru Citations
2017
1. S. A. Pikhtilkov, O. A. Pikhtilkova, A. A. Gorelik, L. B. Usova, “On the homological description of the Jacobson radical for Lie algebras and the locally nilpotent radical for special Lie algebras”, Chebyshevskii Sb., 18:2 (2017),  195–204  mathnet  elib 1
2. S. A. Pikhtilkov, O. A. Pikhtilkova, A. N. Blagovisnaya, “On the properties of the prime radical of a weakly artinian Lie algebra”, Chebyshevskii Sb., 18:1 (2017),  134–142  mathnet  elib 2
3. O. A. Pikhtilkova, S. A. Pikhtilkov, “On special Lie algebras having a faithful module with Krull dimension”, Izv. RAN. Ser. Mat., 81:1 (2017),  93–100  mathnet  mathscinet  elib; Izv. Math., 81:1 (2017), 91–98  isi  scopus 2
4. A. N. Blagovisnaya, O. A. Pikhtilkova, S. A. Pikhtilkov, “On the M.V. Zaicev problem for a Noetherian special Lie algebras”, Izv. Vyssh. Uchebn. Zaved. Mat., 2017, no. 5,  26–31  mathnet; Russian Math. (Iz. VUZ), 61:5 (2017), 21–25  isi  scopus 1
2016
5. A. N. Blagovisnaya, O. A. Pikhtilkova, S. A. Pikhtilkov, “On A. V. Mikhalev problem for weakly Artinian Lie algebras”, Fundam. Prikl. Mat., 21:1 (2016),  49–55  mathnet; J. Math. Sci., 233:5 (2018), 635–639  scopus
6. O. A. Pikhtilkova, S. A. Pikhtilkov, “Local solvability of the prime radical of a weakly artinian Lie algebra”, Sibirsk. Mat. Zh., 57:3 (2016),  697–699  mathnet  mathscinet  elib; Siberian Math. J., 57:3 (2016), 549–551  isi  elib  scopus 2
2013
7. S. A. Pikhtilkov, “On the Jacobian conjecture”, Chebyshevskii Sb., 14:3 (2013),  92–99  mathnet
8. E. V. Mescherina, O. A. Pikhtilkova, S. A. Pikhtilkov, “On the A. V. Mikhalev's problem for Lie algebras”, Izv. Saratov Univ. Math. Mech. Inform., 13:4(2) (2013),  84–89  mathnet 5
2012
9. A. A. Kucherov, O. A. Pikhtilkova, S. A. Pikhtilkov, “On primitive Lie algebras”, Fundam. Prikl. Mat., 17:2 (2012),  177–182  mathnet; J. Math. Sci., 186:4 (2012), 651–654  scopus 2
2010
10. A. A. Kucherov, S. A. Pikhtilkov, O. A. Pikhtilkova, “On the homological description of the Jacobson radical for Lie algebras”, Chebyshevskii Sb., 11:3 (2010),  98–102  mathnet  zmath
2008
11. S. A. Pikhtil'kov, O. A. Pikhtil'kova, “On some classical radicals for special Lie algebras”, Chebyshevskii Sb., 9:1 (2008),  153–157  mathnet  mathscinet 2
2007
12. S. A. Pikhtil'kov, O. A. Pikhtil'kova, “On the locally nilpotent radicals of B. I. Plotkin for Lie algebras”, Chebyshevskii Sb., 8:2 (2007),  83–87  mathnet  mathscinet  zmath
2006
13. A. V. Mikhalev, I. N. Balaba, S. A. Pikhtilkov, “Prime radicals of graded $\Omega$-groups”, Fundam. Prikl. Mat., 12:2 (2006),  159–174  mathnet  mathscinet  zmath  elib; J. Math. Sci., 149:2 (2008), 1146–1156  elib  scopus 12
2004
14. S. Pikhtilkov, V. Polyakov, “Artinal special Lie superalgebras”, Bul. Acad. Ştiinţe Repub. Mold. Mat., 2004, no. 1,  116–119  mathnet  mathscinet  zmath 1
2003
15. I. N. Balaba, S. A. Pikhtilkov, “Prime radicals of special Lie superalgebras”, Fundam. Prikl. Mat., 9:1 (2003),  51–60  mathnet  mathscinet  zmath  elib; J. Math. Sci., 128:6 (2005), 3365–3371  elib  scopus 4
16. V. N. Latyshev, A. V. Mikhalev, S. A. Pikhtilkov, “On the sum of locally solvable ideals of Lie algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2003, no. 3,  29–32  mathnet  mathscinet  zmath 4
2002
17. S. A. Pikhtilkov, “On locally nilpotent radical of special Lie algebras”, Fundam. Prikl. Mat., 8:3 (2002),  769–782  mathnet  mathscinet  zmath 8
18. S. A. Pikhtilkov, “On the Prime Radical of $PI$-Representable Groups”, Mat. Zametki, 72:5 (2002),  739–744  mathnet  mathscinet  zmath; Math. Notes, 72:5 (2002), 682–686  isi  scopus 5
19. K. I. Beidar, M. V. Zaicev, S. A. Pikhtilkov, “Lie algebras with maximality condition for Abelian subalgebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2002, no. 5,  27–32  mathnet  mathscinet  zmath 3
2000
20. K. I. Beidar, S. A. Pikhtilkov, “The prime radical of the special Lie algebras”, Fundam. Prikl. Mat., 6:3 (2000),  643–648  mathnet  mathscinet  zmath 20
1994
21. K. I. Beidar, S. A. Pikhtilkov, “The primary radical of special Lie algebras”, Uspekhi Mat. Nauk, 49:1(295) (1994),  233  mathnet  mathscinet  zmath; Russian Math. Surveys, 49:1 (1994), 225–226  isi 11
1981
22. S. A. Pikhtilkov, “On special Lie algebras”, Uspekhi Mat. Nauk, 36:6(222) (1981),  225–226  mathnet  mathscinet  zmath; Russian Math. Surveys, 36:6 (1981), 195–196  isi 7
1974
23. S. A. Pikhtilkov, “Primitivity of a free associative algebra with a finite number of generators”, Uspekhi Mat. Nauk, 29:1(175) (1974),  183–184  mathnet  mathscinet  zmath 3

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