Abstract
The paper presents a full description of idempotent elements of the semigroup of binary relations B X (D), which are defined by semilattices of the class Σ3(X, 8). For the case where X is a finite set and Z 7 = Ø, we derive formulas for calculating the number of idempotent elements of the respective semigroup.
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G. Tavdgiridze, Ya. Diasamidze, and O. Givradze, “Idempotent elements of the semigroup B X (D) defined by semilattices of the class Σ3(X, 8), when Z 7 ≠ = Ø” (to appear).
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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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Tavdgiridze, G., Diasamidze, Y. & Givradze, O. Idempotent Elements of the Semigroup B X (D) Defined by Semilattices of the Class Σ3(X, 8) when Z 7 = Ø. J Math Sci 218, 848–856 (2016). https://doi.org/10.1007/s10958-016-3075-8
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DOI: https://doi.org/10.1007/s10958-016-3075-8