Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika
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Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 1982, Number 2, Pages 54–58 (Mi vmumm4156)  
This article is cited in 2 scientific papers (total in 2 papers)

Mathematics

On the property of having a finite basis for some varieties of Lie algebras and associative algebras

V. V. Stovba
Full-text PDF (775 kB) Citations (2)
Abstract: The following systems of identical relations in Lie and associative algebras are shown to be finitely based. (1) The set of Capelli identities of any given order m. (2) The set of symmetric identities of any given order m. (3) Any set of identities in finitely many variables such that the degrees of all variables but one are bounded. The base field is of characteristic zero.
Received: 08.10.1981
Bibliographic databases:
Document Type: Article
UDC: 519.4
Language: Russian
Citation: V. V. Stovba, “On the property of having a finite basis for some varieties of Lie algebras and associative algebras”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 1982, no. 2, 54–58
Citation in format AMSBIB
\Bibitem{Sto82}
\by V.~V.~Stovba
\paper On the property of having a finite basis for some varieties of Lie algebras and associative algebras
\jour Vestnik Moskov. Univ. Ser.~1. Mat. Mekh.
\yr 1982
\issue 2
\pages 54--58
\mathnet{http://mi.mathnet.ru/vmumm4156}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=0655403}
\zmath{https://zbmath.org/?q=an:0494.17011}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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