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Complete semigroups of binary relations defined by X-semilattices of unions

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Abstract

This paper is devoted to some results from the book “Complete Semigroups of Binary Relations,” which is not published yet. Conditions of divisibility of binary relations, idempotents, regular elements, one-side units, and one-side zeros are described. Finite X-semilattices and unions are characterized. Methods of finding formulas for counting the number of idempotents and regular elements are given.

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References

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Authors and Affiliations

  1. Batumi State University, 35, Ninoshvili St., Batumi, 6010, Georgia

    Ya. Diasamidze & Sh. Makharadze

Authors
  1. Ya. Diasamidze
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  2. Sh. Makharadze
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Correspondence to Ya. Diasamidze.

Additional information

Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 14, No. 8, pp. 73–99, 2008.

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Diasamidze, Y., Makharadze, S. Complete semigroups of binary relations defined by X-semilattices of unions. J Math Sci 166, 615–633 (2010). https://doi.org/10.1007/s10958-010-9877-1

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  • DOI: https://doi.org/10.1007/s10958-010-9877-1

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