This article is cited in 5 papers

Complete semigroups of binary relations defined by $X$-semilattices of unions

Ya. Diasamidze, Sh. Makharadze

Batumi Shota Rustaveli State University

Abstract: This paper is devoted to some results from the book “Complete Semigroups of Binary Relations”, which is not published yet. Conditions of divisibility of binary relations, idempotents, regular elements, one-side units, and one-side zeros are described. Finite $X$-semilattices and unions are characterized. Methods of finding formulas for counting the number of idempotents and regular elements are given.

UDC: 512.534.1

 English version: Journal of Mathematical Sciences (New York), 2010, 166:5, 615–633

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