Mathematics Faculty Articles

Title

Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation

Document Type

Article

Publication Date

2-1-2013

Publication Title

Studia Logica

Keywords

Semigroup, Monoid, Finitely based, Hereditarily finitely based

ISSN

0039-3215

Volume

101

Issue/No.

1

First Page

95

Last Page

115

Abstract

A system of semigroup identities is hereditarily finitely based if it defines a variety all semigroups of which are finitely based. Two new types of hereditarily finitely based identity systems are presented. Two of these systems, together with eight existing systems, establish the hereditary finite basis property of every semigroup of order five or less with one possible exception.

ORCID ID

0000-0002-1662-3734

ResearcherID

I-6970-2013

DOI

10.1007/s11225-012-9369-z

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