Exploring Commutativity via Generalized (α, β)-Derivations Involving Prime Ideals-Reference-Cited by-同舟云学术

Exploring Commutativity via Generalized (α, β)-Derivations Involving Prime Ideals

Published:2024-07-25 Issue:15 Volume:12 Page:2325
ISSN:2227-7390
Container-title:Mathematics
language:en
Short-container-title:Mathematics

Author:

Alsowait Nawaf¹^ORCID,Al-omary Radwan M.²^ORCID,Al-Amery Zakia³,Al-Shomrani Mohammed⁴^ORCID

Affiliation:

1. Department of Mathematics, College of Science, Northern Border University, Arar 73213, Saudi Arabia

2. Department of Mathematics, Ibb University, Ibb, Yemen

3. Department of Mathematics, Aden University, Aden, Yemen

4. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

The purpose of this article is to enhance the previous studies regarding the behavior of a quotient ring ℑ/℘, where ℘ is a prime ideal in a ring ℑ. In particular, we are going to explore more general scenarios whenever a ring ℑ admits a generalized (α,β)-derivation associated with an (α,β)-derivation ∂ that satisfies certain criteria involving ℘, where α and β are automorphisms on ℑ. Moreover, we provide some examples to demonstrate the importance of the assumptions made in our results.

Funder

Deanship of Scientific Research (DSR) at Northern Border University, Arar, KSA

Publisher

MDPI AG

Link

https://www.mdpi.com/2227-7390/12/15/2325/pdf

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