TITLE:
Idempotent Elements of the Semigroups BX(D) Defined by Semilattices of the Class ∑3 (X,8) When Z7=Ø
AUTHORS:
G. Tavdgiridze, Ya. Diasamidze, O. Givradze
KEYWORDS:
Semilattice, Semigroup, Binary Relation, Idempotent Element
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.9,
May
27,
2016
ABSTRACT: In this paper, complete semigroup binary
relation is defined by semilattices of the class . We give a full description
of idempotent elements of given semigroup. For the case where X is a finite set
and , we derive formulas by calculating the numbers of idempotent elements of
the respective semigroup.