On n-anti-homoderivations of Prime and Semiprime Rings
Abstract
We present the notion of $n$-anti-homoderivations, a novel class of additive mappings on rings. Within this framework, we establish strong necessary conditions for rings' commutativity and the presence of nontrivial central ideals. Our approach not only generalizes several classical results as special cases, but also addresses open problems concerning the interaction between such mappings and the structural properties of rings.
Fields of Study & Subjects
Advanced Topics in Algebra
Functional Equations Stability Results
Rings
Modules
and Algebras
Publication details
- Journal / source
- European Journal of Pure and Applied Mathematics
- Publisher
- New York Business Global LLC
- Volume
- 19
- Issue
- 1
- Pages
- 7281–7281
- Publication date
- 16 February 2026