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Irreducible Generating Sets of Complete Semigroups of Unions B x (D) Defined by Semilattices of Class Σ2(X, 4), Where |X| = 3

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Abstract

In complete semigroups of unions B x (D) defined by semilattices of class Σ2(X, 4), where |X| = 3, we select subsets of a certain type on which a binary equivalent relation is defined. By means of this relation, we describe irreducible generating sets of considered semigroups.

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References

  1. Ya. Diasamidze and Sh. Makharadze, Complete Semigroups of Binary Relations [in Russian], Sputnik+, Moscow (2010).

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  3. O. Givradze, “Irreducible generating sets of complete semigroups of unions B X (D) defined by semilattices of the class (Σ2(X, 4),” J. Math. Sci., 186, No. 5, 745–750 (2012).

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Correspondence to O. Givradze.

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Translated from Sovremennaya Matematika i Ee Prilozheniya (Contemporary Mathematics and Its Applications), Vol. 94, Proceedings of the International Conference “Lie Groups, Differential Equations, and Geometry,” June 10–22, 2013, Batumi, Georgia, Part 1, 2014.

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Givradze, O. Irreducible Generating Sets of Complete Semigroups of Unions B x (D) Defined by Semilattices of Class Σ2(X, 4), Where |X| = 3. J Math Sci 216, 547–552 (2016). https://doi.org/10.1007/s10958-016-2912-0

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  • DOI: https://doi.org/10.1007/s10958-016-2912-0

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