Email this article Idempotent Elements of the Semigroup BX(D) Defined by Semilattices of the Class Σ2(X, 8)
- Authors: Tsinaridze N.1, Makharadze S.1, Rokva N.1
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Affiliations:
- Shota Rustaveli Batumi State University
- Issue: Vol 218, No 6 (2016)
- Pages: 868-878
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/238430
- DOI: https://doi.org/10.1007/s10958-016-3077-6
- ID: 238430
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Abstract
A complete semigroup of binary relations is defined by semilattices of the class Σ2(X, 8). A description of idempotent elements of this semigroup is given. For the case where X is a finite set and Z7 ∩ Z6 ≠ ∅, formulas are derived by calculating the number of idempotent elements of the semigroup.
About the authors
N. Tsinaridze
Shota Rustaveli Batumi State University
Author for correspondence.
Email: ninocinaridze@mail.ru
Georgia, Batumi
Sh. Makharadze
Shota Rustaveli Batumi State University
Email: ninocinaridze@mail.ru
Georgia, Batumi
N. Rokva
Shota Rustaveli Batumi State University
Email: ninocinaridze@mail.ru
Georgia, Batumi
