Studying Semigroups Using the Properties of Their Prime m-Ideals | Zendy

Mohammad Munir | Zendy; Nasreen Kausar | Zendy; B. Davvaz | Zendy; Muhammad Gulistan | Zendy; Muhammad Gulzar | Zendy

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Studying Semigroups Using the Properties of Their Prime m-Ideals

Author(s) -

Mohammad Munir,

Nasreen Kausar,

B. Davvaz,

Muhammad Gulistan,

Muhammad Gulzar

Publication year - 2020

Publication title -

the bulletin of irkutsk state university series mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.411

H-Index - 3

eISSN - 2541-8785

pISSN - 1997-7670

DOI - 10.26516/1997-7670.2020.34.109

Subject(s) - prime (order theory) , mathematics , ideal (ethics) , semigroup , boolean prime ideal theorem , prime ideal , associated prime , pure mathematics , integer (computer science) , minimal ideal , discrete mathematics , maximal ideal , combinatorics , computer science , epistemology , philosophy , programming language

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.

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