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., 2016, Volume 13,Pages 1052

This article is cited 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

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.

UDC: 512.552.4

MSC: 16R10

Received August 30, 2016, published November 28, 2016

DOI: 10.17377/semi.2016.13.084