All completely regular elements in $Hyp_{G}(n)$

• Autorzy: Ampika Boonmee , Sorasak Leeratanavalee
• Języki publikacji: EN

Abstrakty

EN

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).

Słowa kluczowe

EN

generalized hypersubstitution; regular element; completely regular element

Kategorie tematyczne

• 20B30: Symmetric groups
• 20M05: Free semigroups, generators and relations, word problems
• 20M17: Regular semigroups

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2013
• Tom: 33
• Numer: 2
• Strony: 211-219

Daty

wydano

2013

otrzymano

2013-04-27

otrzymano

2013-07-13

Twórcy

autor

Ampika Boonmee

• Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

autor

Sorasak Leeratanavalee

• Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, Thailand

Bibliografia

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• [6] J.M. Howie, Fundamentals of Semigroup Theory (Academic Press, London, 1995).
• [7] M. Petrich and N.R. Reilly, Completely Regular Semigroups (John Wiley and Sons, Inc., New York, 1999).
• [8] S. Leeratanavalee and K. Denecke, Generalized Hypersubstitutions and Strongly Solid Varieties, General Algebra and Applications, Proc. of the '59 th Workshop on General Algebra', '15 th Conference for Young Algebraists Potsdam 2000', Shaker Verlag (2000) 135-145.
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Identyfikatory

DOI

10.7151/dmgaa.1203