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FINITE REGULAR BANDS ARE FINITELY RELATED

Part of: Combinatorics Semigroups

Published online by Cambridge University Press:  15 May 2012

IGOR DOLINKA
IGOR DOLINKA*
Affiliation:
Department of Mathematics and Informatics, University of Novi Sad, Trg Dositeja Obradovića 4, 21101 Novi Sad, Serbia (email: dockie@dmi.uns.ac.rs)
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Abstract

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An algebra A is said to be finitely related if the clone Clo(A) of its term operations is determined by a finite set of finitary relations. We prove that each finite idempotent semigroup satisfying the identity xyxzx≈xyzx is finitely related.

Keywords

finite regular bandterm operationvarietyfinitely related

MSC classification

Secondary: 20M07: Varieties and pseudovarieties of semigroups 05A05: Permutations, words, matrices
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 87 , Issue 1 , February 2013 , pp. 1 - 9
Copyright
Copyright © Australian Mathematical Publishing Association Inc. 2012

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