Author(s)

Giuli Tavdgiridze, Yasha Diasamidze, Omari Givradze

Faculty of Physics, Mathematics and Computer Sciences, Department of Mathematics, Shota Rustaveli Batumi State University, Batumi, Georgia.

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.

Semilattice, Semigroup, Binary Relation, Idempotent Element

Tavdgiridze, G. , Diasamidze, Y. and Givradze, O. (2016) Idempotent Elements of the Semigroups B_x(D) Defined by Semilattices of the Class ∑₃(x,8) When Z₇‡ Ø. Applied Mathematics, 7, 193-218. doi: 10.4236/am.2016.73019.