On varieties of Lie algebras with infinite basis property
Rings and Algebras
2023-01-31 v1
Abstract
Over an arbitrary field of positive characteristic we construct an example of a locally finite variety of Lie algebras which does not have a finite basis of its polynomial identities. As a consequence we construct varieties of Lie algebras with prescribed properties.
Keywords
Cite
@article{arxiv.2301.12572,
title = {On varieties of Lie algebras with infinite basis property},
author = {Vesselin S. Drensky},
journal= {arXiv preprint arXiv:2301.12572},
year = {2023}
}
Comments
This is an English translation of a paper published in 1983 (see Zbl 0525.17006, MR0725813) and available online at http://www.math.bas.bg/serdica/1983/1983-079-082.pdf