Complete Semigroups of Binary Relations Defined by Semilattices of the Class Z−Elementary X−Semilattice of Unions

In this paper we investigate idempotents of complete semigroups of binary relations defined by semilattices of the class Z−elementary X−semilattice of unions. For the case where X is a finite set we derive formulas by calculating the numbers of idempotents of the respective semigroup.

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Bibliographic Details
Published inSarajevo journal of mathematics Vol. 11; no. 1; pp. 17 - 35
Main Authors Diasamidze, Yasha, Makharadze, Shota, Aydın, Ne¸set, Erdo˘gan, Ali
Format Journal Article
LanguageEnglish
Published 16.05.2025
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Summary:In this paper we investigate idempotents of complete semigroups of binary relations defined by semilattices of the class Z−elementary X−semilattice of unions. For the case where X is a finite set we derive formulas by calculating the numbers of idempotents of the respective semigroup.
ISSN:1840-0655
2233-1964
DOI:10.5644/SJM.11.1.02