Mathematics Faculty Articles
A Sufficient Condition for the Non-Finite Basis Property of Semigroups
Document Type
Article
Publication Date
12-1-2012
Publication Title
Monatshefte für Mathematik
Keywords
Semigroup, Identity, Finite basis property, Finitely based
ISSN
0026-9255
Volume
168
Issue/No.
3-4
First Page
461
Last Page
472
Abstract
Recently, Zhang and Luo proved that a certain semigroup L of order six is non-finitely based. The main aim of the present article is to generalize this result to a sufficient condition for the non-finite basis property of semigroups. It follows that the semigroup L is inherently non-finitely based relative to a certain class of semigroups. It is also shown that the variety var L generated by L contains a unique maximal subvariety that is non-finitely based. Consequently, the variety var L is not a limit variety.
NSUWorks Citation
Lee, Edmond W. H., "A Sufficient Condition for the Non-Finite Basis Property of Semigroups" (2012). Mathematics Faculty Articles. 5.
https://nsuworks.nova.edu/math_facarticles/5
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.1007/s00605-011-0341-1
