TITLE:
Idempotent and Regular Elements of the Complete Semigroups of Binary Relations of the Class ∑3(X,9)
AUTHORS:
Barış Albayrak, Neşet Aydın
KEYWORDS:
Semilattice, Semigroup, Binary Relation
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.2,
February
5,
2015
ABSTRACT: In this paper, we take Q16 subsemilattice of D and we will calculate the number of right unit, idempotent and regular elements α of BX (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 BX (Q) defined by an X-semilattice of unions D.