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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2016, Volume 13, Pages 1052–1066
DOI: https://doi.org/10.17377/semi.2016.13.084 (Mi semr734) 		 
This article is cited in 4 scientific papers (total in 4 papers)

Mathematical logic, algebra and number theory

Defining relations and identities of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$

E. P. Petrov

Altai State University, pr. Lenina, 61, 656049, Barnaul, Russia
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DOI: https://doi.org/10.17377/semi.2016.13.084
Abstract: In this paper we describe defining relations of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$, it is proved that such algebra $R$ satisfies the standard identity of degree four.
Keywords: defining relations, identities, nilpotent algebra.
Received August 30, 2016, published November 28, 2016
Bibliographic databases:
Document Type: Article
UDC: 512.552.4
MSC: 16R10
Language: Russian
Citation: E. P. Petrov, “Defining relations and identities of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$”, Sib. Èlektron. Mat. Izv., 13 (2016), 1052–1066
Citation in format AMSBIB
\Bibitem{Pet16}
\by E.~P.~Petrov
\paper Defining relations and identities of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$
\jour Sib. \`Elektron. Mat. Izv.
\yr 2016
\vol 13
\pages 1052--1066
\mathnet{http://mi.mathnet.ru/semr734}
\crossref{https://doi.org/10.17377/semi.2016.13.084}
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