Mathematics Faculty Articles
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.
NSUWorks Citation
Lee, Edmond W. H., "Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation" (2013). Mathematics Faculty Articles. 10.
https://nsuworks.nova.edu/math_facarticles/10
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.1007/s11225-012-9369-z
