Work

On Ideals and Behavior of Quotient Rings via Generalized (α,β)-Derivations

Year: 2025

Type: article

Abstract: The purpose of this paper is to examine the behavior of a factor ring R/P with a partial range I of a ring R, where P is a prime ideal of R and I is a non-zero ideal of R such that P⊊I. In order to accomplish this objective, we will utilize specific algebraic identities that involve P and are related to generalized (α,β)-derivations F and G, associated with (α,β)-derivations d and g, respectively, where α and β are automorphisms of R. Additionally, we will list some important related consequences. Finally, we will provide an illustrative example to emphasize the importance of the hypotheses imposed in our theorems.

Source: Mathematics

DOI: 10.3390/math13060968

Authors: Nawaf Alsowait, Mohammed Al-Shomrani, Radwan Al-omary, Zakia Al-Amery, Hafedh Alnoghashi

Institutions: Northern Border University, King Abdulaziz University, Ibb University, University of Aden, Amran University

Language: English

Topic: Rings, Modules, and Algebras

Subfield: Algebra and Number Theory

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W4408509552

FWCI: 6.802

Cites: 16

Cited by: 2

Related to: 10