Mathematics Faculty Articles
A Class of Finite Semigroups Without Irredundant Bases of Identities
Document Type
Article
Publication Date
12-2015
Publication Title
Yokohama Mathematical Journal
Keywords
Semigroup, Involution semigroup, Identity, Basis, Irredundant Basis, Finite Basis
ISSN
0044-0523
Volume
61
First Page
1
Last Page
28
Abstract
A basis of identities for an algebra is irredundant if each of its proper subsets fails to be a basis for the algebra. A new infinite class of finite semigroups without irredundant bases is exhibited. These semigroups, together with results in two sequel articles, demonstrate contrasting equational properties satisfied by some finite involution semigroups and their reducts.
NSUWorks Citation
Lee, Edmond W. H., "A Class of Finite Semigroups Without Irredundant Bases of Identities" (2015). Mathematics Faculty Articles. 18.
https://nsuworks.nova.edu/math_facarticles/18
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
COinS
Comments
3010 Mathematics Subject Classification: 20M05