Author(s)

Barış Albayrak, Neşet Aydın

Çanakkale Onsekiz Mart University, Çanakkale, Turkey.

In this paper, we take Q₁₆ subsemilattice of D and we will calculate the number of right unit, idempotent and regular elements α of B_X (Q₁₆) satisfied that V (D, α) = Q₁₆ for a finite set X. Also we will give a formula for calculate idempotent and regular elements of B_X (Q) defined by an X-semilattice of unions D.

Semilattice, Semigroup, Binary Relation

Albayrak, B. and Aydın, N. (2015) Idempotent and Regular Elements of the Complete Semigroups of Binary Relations of the Class ∑₃(X,9). Applied Mathematics, 6, 312-318. doi: 10.4236/am.2015.62029.