Article
Finite Involution Semigroups with Infinite Irredundant Bases of Identities
Forum Mathematicum
Document Type
Article
Publication Date
5-1-2016
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. The first known examples of finite involution semigroups with infinite irredundant bases are exhibited. These involution semigroups satisfy several counterintuitive properties: their semigroup reducts do not have irredundant bases, they share reducts with some other finitely based involution semigroups, and they are direct products of finitely based involution semigroups.
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.1515/forum-2014-0098
Citation Information
Edmond W. H. Lee. "Finite Involution Semigroups with Infinite Irredundant Bases of Identities" Forum Mathematicum Vol. 28 Iss. 3 (2016) p. 587 - 607 ISSN: 0933-7741 Available at: http://works.bepress.com/edmond-lee/28/