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JOURNALS // Vestnik Samarskogo Universiteta. Estestvenno-Nauchnaya Seriya // Archive

Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2014 Issue 3(114), Pages 76–82 (Mi vsgu354)

This article is cited in 1 paper

Mathematics

Basis of multilinear part of Leibniz algebras manifolds $\widetilde{\mathrm{V}}_1$

S. P. Mishchenko, Y. R. Pestova

Ulyanovsk State University, Ulyanovsk, 432017, Russian Federation

Abstract: In the case of trivial characteristic of base field, Leibniz algebras manifolds defined by the identity $x_1(x_2x_3)(x_4x_5)\equiv0$, has almost polynomial growth. In the work we continue research of this manifold, in particular, we construct bases of multilinear parts.

Keywords: Leibniz algebra, manifold, almost polynomial growth, bases of multilinear part.

UDC: 512.5

Received: 20.02.2014
Revised: 20.02.2014



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