Subject: Q Science (General)
Year: 2019
Type: Article
Type: NonPeerReviewed
Title: GREEN’S RELATIONS IN SEMIGROUPS
Author: Azemi, Merita
Abstract: In this paper, we discuss a very useful tool in the study of monoids/semigroups called Green’s relations. At this point, we note that every J - class decomposes into a set of R - classes as well as into a set of L- classes. These facts can be represented by a schema called an “egg-box”. We say that a D - class (or a H - class or R- class or L- class) is regular if it contains an idempotent and that any two maximal subgroups contained in the same D - class of a monoid are isomorphic. If is a minimal right ideal and a minimal left ideal, then is a maximal subgroup of . Also we say that the maximal subgroup of a semigroup coincide with the H - classes of which contains idempotents. These facts can be represented by a schema called an “egg-box”.
Publisher: Faculty of Natural Sciences and Mathematics - University of Tetova
Relation: https://eprints.unite.edu.mk/452/
Identifier: oai:eprints.unite.edu.mk:452
Identifier: https://eprints.unite.edu.mk/452/1/23.pdfIdentifier: Azemi, Merita (2019) GREEN’S RELATIONS IN SEMIGROUPS. Journal of Natural Sciences and Mathematics of UT, 4 (7-8). pp. 176-182. ISSN 2671-3039
