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.

Location: http://mech.math.msu.su/~fpm/eng/k08/k088/k08804h.htm

Last modified: October 18, 2009