Studying Semigroups Using the Properties of Their Prime m-Ideals
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Published:2020
Issue:
Volume:34
Page:109-125
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ISSN:1997-7670
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Container-title:The Bulletin of Irkutsk State University. Series Mathematics
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language:
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Short-container-title:Bull.ISU.Ser.Math.
Author:
Munir M., ,Kausar N.,Davvaz B.,Gulistan M.,Gulzar M., , , ,
Abstract
In this article, we present the idea of m-ideals, prime m-ideals and their associated types for a positive integer m in a semigroup. We present different chrarcterizations of semigroups through m-ideals. We demonstrate that the ordinary ideals, and their relevent types differ from the m-ideals and their assocated types by presenting concrete examples on the maximal, irreducible and strongly irreducible m-ideals. We conclude from the study that the introduction of the m-ideal will explore new fields of studies in semigroups and their applications.
Publisher
Irkutsk State University
Subject
General Mathematics
Cited by
1 articles.
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