Article
Finitely Based Finite Involution Semigroups with Non-finitely Based Reducts
Quaestiones Mathematicae
Document Type
Article
Publication Date
4-1-2016
Keywords
- Semigroup,
- Involution semigroup,
- Identity,
- Basis,
- Irredundant basis,
- Finite basis
Disciplines
Abstract
Since the study of the finite basis problem for finite semigroups began in the 1960s, it has been unknown if there exists any finite involution semigroup that is finitely based but the reduct of which is non-finitely based. The present article exhibits an example of such an involution semigroup of order n+5 for any positive integer n.
ORCID ID
0000-0002-1662-3734
ResearcherID
I-6970-2013
DOI
10.2989/16073606.2015.1068239
Citation Information
Edmond W. H. Lee. "Finitely Based Finite Involution Semigroups with Non-finitely Based Reducts" Quaestiones Mathematicae Vol. 39 Iss. 2 (2016) p. 217 - 243 ISSN: 1607-3606 Available at: http://works.bepress.com/edmond-lee/20/
Mathematics Subject Classification (2010): 20M05