On differential identities involving partitioning ideals of semirings

Liaqat Ali; Muhammad Aslam; Ghulam Farid; Tariq Mahmood

doi:10.4134/CKMS.c230288

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Commun. Korean Math. Soc. 2024; 39(3): 595-609

Online first article July 18, 2024 Printed July 31, 2024

https://doi.org/10.4134/CKMS.c230288

On differential identities involving partitioning ideals of semirings

Liaqat Ali, Muhammad Aslam, Ghulam Farid, Tariq Mahmood

Govt. MAO Graduate College; GC University; COMSATS Islamabad, Attock Campus; GC University

Abstract

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Abstract

In this article, we study a certain class of partitioning ideals known as $Q$-ideals, in semirings. Main objective is to investigate differential identities linking a semiring $S$ to its prime $Q$-ideal $I_Q$, which ensure the commutativity and other features of $S/I_Q$.

Keywords: $Q$-ideals, prime ideals, semirings, derivations

MSC numbers: Primary 16Y60, 16W25, 16N60, 16U80