Article
Non-finitely based finite involution semigroups with finitely based semigroup reducts
Korean Journal of Mathematics
Document Type
Article
Publication Date
3-31-2019
Keywords
- Semigroup,
- involution,
- finitely based,
- finite basis problem
Disciplines
Abstract
Recently, an infinite class of finitely based finite involution semigroups with non-finitely based semigroup reducts have been found. In contrast, only one example of the opposite type---non-finitely based finite involution semigroups with finitely based semigroup reducts---has so far been published. In the present article, a sufficient condition is established under which an involution semigroup is non-finitely based. This result is then applied to exhibit several examples of the desired opposite type.
DOI
10.11568/kjm.2019.27.1.53
Citation Information
Edmond W. H. Lee. "Non-finitely based finite involution semigroups with finitely based semigroup reducts" Korean Journal of Mathematics Vol. 27 Iss. 1 (2019) p. 53 - 62 ISSN: 1976-8605 Available at: http://works.bepress.com/edmond-lee/50/