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Research Article | Open Access

On commutativity of quotient semirings through generalized derivations

Tariq Mahmood1, Liaqat Ali2( ), Muhammad Aslam3, Ghulam Farid4( )
Department of Mathematics, G.C University Lahore, Pakistan
Department of Mathematics, Govt. MAO Graduate College Lahore, Pakistan
Department of Mathematics, G.C University Lahore, Pakistan
Department of Mathematics, COMSATS University Islamabad, Attock Campus, Pakistan
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Abstract

This research article aims to study quotient MA-semirings determined by the prime ideals. Derivations are important tools to study algebraic structures. We establish some theorems on commutativity of quotient MA-semirings under certain differential identities. Results of this paper are extensions of many well known facts of this topic.

Keywords

MA-semiringsgeneralized derivationsprime idealsQ-ideals
CLC number: 16N60, 16U80, 16W25, 16Y60

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 25729-25739
DOI: 10.3934/math.20231312

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Cite this article:
Mahmood T, Ali L, Aslam M, et al. On commutativity of quotient semirings through generalized derivations. AIMS Mathematics, 2023, 8(11): 25729-25739. https://doi.org/10.3934/math.20231312

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Received: 10 March 2023
Revised: 16 June 2023
Accepted: 24 July 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)