On Idempotent Elements of The Semigroup of Binary Relations

Аннотация

In the paper, we consider the complete semigroup of binary relations defined by semilattices of the class Σ₃(X, 8). We give a full description of idempotent elements for the case where X is a finite set and Z₇ ≠ Ø and obtain the formulas for the number of idempotent elements of the corresponding semigroup.