FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2008, VOLUME 14, NUMBER 8, PAGES 73-99

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

Ya. Diasamidze
Sh. Makharadze

Abstract

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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.

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Last modified: October 18, 2009