Non-finitely based finite involution semigroups with finitely based semigroup reducts

Authors

Edmond W. H. Lee, Nova Southeastern UniversityFollow

Document Type

Article

Publication Date

3-31-2019

Publication Title

Korean Journal of Mathematics

Keywords

Semigroup, involution, finitely based, finite basis problem

ISSN

1976-8605

Volume

27

Issue/No.

1

First Page

53

Last Page

62

Abstract

Recently, an infinite class of finitely based finite involution semigroups with non-finitely based semigroup reducts have been found. In contrast, only one example of the opposite type---non-finitely based finite involution semigroups with finitely based semigroup reducts---has so far been published. In the present article, a sufficient condition is established under which an involution semigroup is non-finitely based. This result is then applied to exhibit several examples of the desired opposite type.

NSUWorks Citation

Lee, Edmond W. H., "Non-finitely based finite involution semigroups with finitely based semigroup reducts" (2019). Mathematics Faculty Articles. 261.
https://nsuworks.nova.edu/math_facarticles/261

DOI

10.11568/kjm.2019.27.1.53