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 |
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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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