Author(s)

Shota Makharadze¹, Neşet Aydın², Ali Erdoğan³

¹Shota Rustavelli University, Batum, Georgia.
²Çanakkale Onsekiz Mart University, Çanakkale, Turkey.
³Hacettepe University, Ankara, Turkey.

In this paper we give a full description of idempotent elements of the semigroup B_X (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.

Semilattice, Semigroup, Binary Relation

Makharadze, S. , Aydın, N. and Erdoğan, A. (2015) Complete Semigroups of Binary Relations Defined by Semilattices of the Class ∑₁(X,10). Applied Mathematics, 6, 274-294. doi: 10.4236/am.2015.62026.