Research ArticleOpen AccessGoogle Scholar indexed
Generating Set of the Complete Semigroups of Binary Relations
Shota Rustavelli University, Batumi, Georgia
Çanakkale Onsekiz Mart University, Çanakkale, Turkey
Hacettepe University, Ankara, Turkey
- 1 Shota Rustavelli University, Batumi, Georgia
- 2 Çanakkale Onsekiz Mart University, Çanakkale, Turkey
- 3 Hacettepe University, Ankara, Turkey
Applied Mathematics·Volume 07 (2016)·Pages 98–107·Published 11 January 2016·DOI10.4236/am.2016.71009
Copy link · social · email
Abstract
Difficulties encountered in studying generators of semigroup of binary relations defined by a complete X -semilattice of unions D arise because of the fact that they are not regular as a rule, which makes their investigation problematic. In this work, for special D , it has been seen that the semigroup , which are defined by semilattice D , can be generated by the set .
KeywordsSemigroupsBinary RelationGenerated SetGenerators
- Diasamidze, Ya. and Makharadze, Sh. (2013) Complete Semigroups of Binary Relations. Cityplace Kriter, Country-Region Turkey, 520 p.
- Davedze, M.Kh. (1968) Generating Sets of Some Subsemigroups of the Semigroup of All Binary Relations in a Finite Set. Proc. A. I. Hertzen Leningrad State Polytechn. Inst., 387, 92-100. (In Russian)
- Davedze, M.Kh. (1971) A Semigroup Generated by the Set of All Binary Relations in a Finite Set. XIth All-Union Algebraic Colloquium, Abstracts of Reports, Kishinev, 193-194. (In Russian)
- Davedze, M.Kh. (1968) Generating Sets of the Subsemigroup of All Binary Relations in a Finite Set. Doklady AN BSSR, 12, 765-768. (In Russian)
- Givradze, O. (2010) Irreducible Generating Sets of Complete Semigroups of Unions Defined by Semilattices of Class . Proceedings of the International Conference “Modern Algebra and Its Aplications”, Batumi.
- Givradze, O. (2011) Irreducible Generating Sets of Complete Semigroups of Unions Defined by Semilattices of Class in Case, When and . Proceedings of the International Conference “Modern Algebra and Its Aplications”, Batumi.