Abstract
A complete semigroup of binary relations is defined by semilattices of the class Σ2(X, 8). A description of idempotent elements of this semigroup is given. For the case where X is a finite set and Z 7 ∩ Z 6 ≠ ∅, formulas are derived by calculating the number of idempotent elements of the semigroup.
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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 97, Proceedings of the International Conference “Lie Groups, Differential Equations, and Geometry,” June 10–22, 2013, Batumi, Georgia, Part 2, 2015.
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Tsinaridze, N., Makharadze, S. & Rokva, N. Idempotent Elements of the Semigroup B X (D) Defined by Semilattices of the Class Σ2(X, 8). J Math Sci 218, 868–878 (2016). https://doi.org/10.1007/s10958-016-3077-6
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DOI: https://doi.org/10.1007/s10958-016-3077-6