Article
A Class of Finite Semigroups Without Irredundant Bases of Identities
Yokohama Mathematical Journal
Document Type
Article
Publication Date
12-1-2015
Keywords
- Semigroup,
- Involution semigroup,
- Identity,
- Basis,
- Irredundant Basis,
- Finite Basis
Disciplines
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.
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
Citation Information
Edmond W. H. Lee. "A Class of Finite Semigroups Without Irredundant Bases of Identities" Yokohama Mathematical Journal Vol. 61 (2015) p. 1 - 28 ISSN: 0044-0523 Available at: http://works.bepress.com/edmond-lee/1/
3010 Mathematics Subject Classification: 20M05