Year: 2025
Type: article
Abstract: This paper identifies all derivations associated with two well-known non-commutative prime rings and provides some remarks on one of these derivations, called the prime derivation. Also, it presents two results for some classes of non-commutative prime rings, regarding when the images of derivations on these rings are subrings of them. The paper also includes some illustrative examples and concludes with a set of questions for further exploration of this topic.
Source: Axioms
Author: Khalid H. Al-Shaalan
Institution: King Saud 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
Funder: King Saud University
OpenAlex ID: W4416785946