On idempotent elements of the semigroup of binary relations. (English. Russian original) Zbl 1347.20073
J. Math. Sci., New York 216, No. 4, 590-602 (2016); translation from Sovrem. Mat. Prilozh. 94 (2014).
Summary: In the paper, we consider the complete semigroup of binary relations defined by semilattices of the class \(\Sigma_3(X,8)\). We give a full description of idempotent elements for the case where \(X\) is a finite set and \(Z_7\neq\emptyset\) and obtain the formulas for the number of idempotent elements of the corresponding semigroup.
References:
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