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Diasamidze, Ya. and Bakuridze, Al. (to appear) On Some Properties of Regular Elements of Complete Semigroups Defined by Semilattices of the Class .

has been cited by the following article:

• 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.