GREEN’S RELATIONS IN SEMIGROUPS

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

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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”.

Item Type:	Article
Subjects:	Q Science > Q Science (General)
Divisions:	Faculty of Engineering, Science and Mathematics > School of Mathematics
Depositing User:	Unnamed user with email zshi@unite.edu.mk
Date Deposited:	22 Feb 2020 18:40
Last Modified:	22 Feb 2020 18:40
URI:	http://eprints.unite.edu.mk/id/eprint/452

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