TITLE:
Idempotent Elements of the Semigroups Bx(D) Defined by Semilattices of the Class ∑3(x,8) When Z7‡ Ø
AUTHORS:
Giuli Tavdgiridze, Yasha Diasamidze, Omari Givradze
KEYWORDS:
Semilattice, Semigroup, Binary Relation, Idempotent Element
JOURNAL NAME:
Applied Mathematics,
Vol.7 No.3,
February
25,
2016
ABSTRACT: In the 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.