RUS  ENG
Full version
JOURNALS // Izvestiya of Saratov University. Mathematics. Mechanics. Informatics // Archive

Izv. Saratov Univ. Math. Mech. Inform., 2013 Volume 13, Issue 4(2), Pages 124–129 (Mi isu472)

This article is cited in 2 papers

Mathematics

New properties of varieties of Leibnitz algebras

T. V. Skorayaa, A. V. Svetsovaab

a Ulyanovsk State University, Russia, 432017, Ulyanovsk, Lev Tolstoy str., 42
b Federal research and production center Open joint stock company "Scientific and production association "Mars", Russia, 432022, Ulyanovsk, Solnechnaya str., 20

Abstract: The paper is devoted to two new results concerning varieties of Leibnitz algebras over a field of the zero characteristic. Here is proved the sufficient condition for a variety of Leibnitz algebras to have a finite colength. Here is also defined the basis of identities and the basis of multilinear part of variety $\widetilde{\mathbf V}_3$.

Key words: Leibnitz algebra, variety of algebras, numerical characteristic, colength, multilinear part.

UDC: 512.55

DOI: 10.18500/1816-9791-2013-13-4-124-129



Bibliographic databases:


© Steklov Math. Inst. of RAS, 2024