No. 4 (2025), Articles
No. 4 (2025)

Generated Sets of the Complete Semigroup Binary Relations Defined by Semilattices of the Class Σ_1 (X,2)

Articles
Published 2026-01-04
Omar Givradze
Batumi Shota Rustaveli State University
Aleksandre Bakuridze
Batumi Shota Rustaveli State University
Tengiz Didmanidze
Batumi Shota Rustaveli State University
pdf (Georgian)

Keywords

semi-set
semi-group
binary relation

How to Cite

Givradze, O., Bakuridze, A., & Didmanidze, T. (2026). Generated Sets of the Complete Semigroup Binary Relations Defined by Semilattices of the Class Σ_1 (X,2) . International Scientific-Practical Conference: „Modern Challenges and Achievements in Information and Communication Technologies“ Transactions, 4, 186-191. https://papers.4science.ge/index.php/mcaaict/article/view/401
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Abstract

This paper discusses the systems of complete semigroups B_X (D) of binary relations defined by complete X-semi-sets of unions of class D of  Σ_1 (X,2) 

pdf (Georgian)

References

Yasha Diasamidze, Shota Makharadze. Complete semigroups of binary relations. Turkey, Kriter, 2013, .

Yasha Diasamidze, Neşet Aydin, Ali Erdoğan. Generating Set of the Complete Semigroups of Binary Relations. Applied Mathematics, 2016, 7, 98-107.

Yasha Diasamidze, Shota Makharadze. Complete semigroups of binary relations defined by elementary and nodal semilattices of unions. Journal of Mathematical Sciences, 111, no.1, 2002, Plenum Publ. Corp., New York, .

Yasha Diasamidze, Temuri Sirabidze. Complete semigroups of binary relations defined by three-element chains. Journal of Mathematical Sciences, 117, no. 4, 2003, Plenum Publ. Corp., New York, 2003, .

Omar Givradze. Irreducible Generating Sets of Complete Semigroups of Unions Defined by Semilattices of Class . Journal of Mathematical Sciences, 186, no. 5, 2012, 745-750.

Omar Givradze. Irreducible Generating sets of Complete Semigroups of Unions. Journal of Mathematical Sciences, 197, no.6, 2014, 755-760.