TITLE:
Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑1(X,10)
AUTHORS:
Shota Makharadze, Neşet Aydın, Ali Erdoğan
KEYWORDS:
Semilattice, Semigroup, Binary Relation
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.2,
February
4,
2015
ABSTRACT: In this paper we give a full description of idempotent elements of the semigroup BX (D), which are defined by semilattices of the class ∑1 (X, 10). For the case where X is a finite set we derive formulas by means of which we can calculate the numbers of idempotent elements of the respective semigroup.