Article
Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation
Studia Logica
Document Type
Article
Publication Date
2-1-2013
Keywords
- Semigroup,
- Monoid,
- Finitely based,
- Hereditarily finitely based
Disciplines
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
Citation Information
Edmond W. H. Lee. "Finite Basis Problem for Semigroups of Order Five or Less: Generalization and Revisitation" Studia Logica Vol. 101 Iss. 1 (2013) p. 95 - 115 ISSN: 0039-3215 Available at: http://works.bepress.com/edmond-lee/8/