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.
Highlights
Let X be a nonempty set and BX be semigroup of all binary relations on the set X
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
We will give a formula for calculate idempotent and regular elements of BX ( D) defined by an X-semilattice of unions D = {T1,T2,T3,T4,T5,T6,T7,T8,T9}
Summary
Let X be a nonempty set and BX be semigroup of all binary relations on the set X.
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