Mathematics Faculty Articles

Document Type

Article

Publication Date

5-2016

Publication Title

Forum Mathematicum

ISSN

0933-7741

Volume

28

Issue/No.

3

First Page

587

Last Page

607

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

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