On differential identities of Jordan ideals of semirings

Liaqat Ali; Muhammad Aslam; Ghulam Farid; S. Abdel-Khalek; Liaqat Ali; Muhammad Aslam; Ghulam Farid; S. Abdel-Khalek

doi:10.3934/math.2021400

AIMS Mathematics

2021, Volume 6, Issue 7: 6833-6844. doi: 10.3934/math.2021400

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Research article

On differential identities of Jordan ideals of semirings

1.
Department of Mathematics, Govt. MAO College Lahore, Pakistan
2.
Department of Mathematics, Govt. College University Lahore, Pakistan
3.
Department of Mathematics, COMSATS Islamabad, Attock Campus, Pakistan
4.
Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia

Received: 21 January 2021 Accepted: 09 April 2021 Published: 22 April 2021
MSC : 16W10, 16Y60

In this article some salient characteristics of Jordan ideals of MA-semirings are discussed. We prove some results for derivations of MA-semirings satisfying different identities on their Jordan ideals and investigate commuting conditions through these ideals.
- MA-semirings,
- Jordan ideals,
- derivations
Citation: Liaqat Ali, Muhammad Aslam, Ghulam Farid, S. Abdel-Khalek. On differential identities of Jordan ideals of semirings[J]. AIMS Mathematics, 2021, 6(7): 6833-6844. doi: 10.3934/math.2021400

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Abstract

In this article some salient characteristics of Jordan ideals of MA-semirings are discussed. We prove some results for derivations of MA-semirings satisfying different identities on their Jordan ideals and investigate commuting conditions through these ideals.

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