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Characterizing Semirings using Their Quasi and Bi-Ideals

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Title: Characterizing Semirings using Their Quasi and Bi-Ideals

Authors: Mohammad Munir, Mustafa Habib

Journal: Proceedings of the Pakistan Academy of Sciences: A

HEC Recognition History
Category From To
Y 2024-10-01 2025-12-31
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: "Physical And Computational Sciences. Pakistan Academy of Sciences."

Country: Pakistan

Year: 2016

Volume: 53

Issue: 4

Language: English

Keywords: Quasi-idealbi-idealregular semiringintra-regular semiringweakly-regular semiring

Categories
Abstract Algebra (137) Algebra (130) Mathematics (5170) Mathematical Logic (6) Ring Theory (33)

Abstract

Quasi-ideals in a semiring are the generalization of one-sided right ideals and left ideals. Biideals are generalized form of the quasi-ideals. This paper is concerned with these two types of ideals in the semirings from pure algebraic point of view. We shall characterize three important classes of semirings namely regular semirings, intra-regular semirings and weakly regular semirings by the characteristics of their quasi and bi-ideals along with their right and left-ideals

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