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- Title
ALL COMPLETELY REGULAR ELEMENTS IN Hyp<sub>G</sub>(n).
- Authors
BOONMEE, AMPIKA; LEERATANAVALEE, SORASAK
- Abstract
In Universal Algebra, identities are used to classify algebras into collections, called varieties and hyperidentities are use to classify varieties into collections, called hypervarities. The concept of a hypersubstitution is a tool to study hyperidentities and hypervarieties. Generalized hypersubstitutions and strong identities generalize the concepts of a hypersubstitution and of a hyperidentity, respectively. The set of all generalized hypersubstitutions forms a monoid. In this paper, we determine the set of all completely regular elements of this monoid of type τ = (n).
- Subjects
COMPLETELY regular codes; UNIVERSAL algebra; SUBSTITUTIONS (Mathematics); MONOIDS; GENERALIZATION; MATHEMATICAL analysis
- Publication
Discussiones Mathematicae: General Algebra & Applications, 2013, Vol 33, Issue 2, p211
- ISSN
1509-9415
- Publication type
Article
- DOI
10.7151/dmgaa.1203