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On Idempotent Elements of The Semigroup of Binary Relations

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Abstract

In the paper, we consider the complete semigroup of binary relations defined by semilattices of the class Σ3(X, 8). We give a full description of idempotent elements for the case where X is a finite set and Z 7 ≠ Ø and obtain the formulas for the number of idempotent elements of the corresponding semigroup.

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References

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Authors and Affiliations

  1. Shota Rustaveli Batumi State University, Batumi, Georgia

    G. Tavdgiridze, Ya. Diasamidze & O. Givradze

Authors
  1. G. Tavdgiridze
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  2. Ya. Diasamidze
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  3. O. Givradze
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Corresponding author

Correspondence to G. Tavdgiridze.

Additional information

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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Tavdgiridze, G., Diasamidze, Y. & Givradze, O. On Idempotent Elements of The Semigroup of Binary Relations. J Math Sci 216, 590–602 (2016). https://doi.org/10.1007/s10958-016-2920-0

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  • DOI: https://doi.org/10.1007/s10958-016-2920-0

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