On Prime Ideals in Rings Satisfying Certain Functional Identities
Year: 2025
Type: article
Abstract: In this note, we will examine the relationship between a generalized derivation ϝ associated with a derivation ∂ that satisfies specific algebraic identities and the behavior of a factor ring S/P, where P is a prime ideal of any ring S. We will also explore several consequences and special cases as applications of our findings. Additionally, various examples have been provided to highlight the necessity of the primeness hypothesis in our theorems.
Source: Axioms
Authors: Kholood Alnefaie, Radwan M. Al-omary
Institutions: Taibah University, Ibb 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: $2,896
OpenAlex ID: W4408832778