Finite basis problem for varieties of algebraic systems
Rings and Algebras
2026-02-24 v1 Group Theory
Abstract
This is a survey on the finite basis problem for varieties of algebraic systems. Our exposition is in two directions: (i) We give numerous examples of varieties which are not finitely based. (ii) We give examples of important varieties with the property that they and their subvarieties are finitely based. A special attention is paid on the varieties of semigroups, groups, associative, Lie and other nonassociative algebras.
Cite
@article{arxiv.2602.18805,
title = {Finite basis problem for varieties of algebraic systems},
author = {Vesselin Drensky},
journal= {arXiv preprint arXiv:2602.18805},
year = {2026}
}