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Irreducible generating sets of complete semigroups of unions B x (D) defined by semilattices of the class Σ2(X, 4)

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Abstract

In complete semigroups of unions B x (D) defined by semilattices of class Σ2(X, 4), we selecte subsets of certain type on which equivalent binary relations are defined and by means of these relations, irreducible generating sets of the considered semigroups are described.

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References

  1. Ya. Diasamidze, Sh. Makharadze, and Il. Diasamidze, “Idempotents and regular elements of complete semigroups of binary relations,” J. Math. Sci., 153, No. 4, 481–499 (2008).

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  2. Ya. Diasamidze, Sh. Makharadze, and N. Rokva, “On XI-semilattices of union,” Bull. Georgian Natl. Acad. Sci., 2, No. 1, 16–24 (2008).

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Authors and Affiliations

  1. Shota Rustaveli Batumi State University, Batumi, Georgia

    O. Givradze

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  1. O. Givradze
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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. 74, Proceedings of the International Conference “Modern Algebra and Its Applications” (Batumi, 2010), Part 1, 2011.

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Givradze, O. Irreducible generating sets of complete semigroups of unions B x (D) defined by semilattices of the class Σ2(X, 4). J Math Sci 186, 745–750 (2012). https://doi.org/10.1007/s10958-012-1026-6

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  • DOI: https://doi.org/10.1007/s10958-012-1026-6

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