On the identity \(D^{3}+D^{2}=G\) in semiprime rings
The purpose of this paper is to prove the following result. Let \(R\) be a \(2-\)torsion free semiprime ring and let \(D, G : R \rightarrow R\) be derivations. Suppose that \(D^{3}(x)+D^{2}(x)=G(x)\) holds for all \(x \in R\). In this case \(D=0\). The result is related to the classical theory of derivations initiated by Posner.
Authors
- Joso Vukman (ORCID: https://orcid.org/0009-0006-8596-7246)
- Benjamin Marcen (ORCID: https://orcid.org/0000-0001-8436-6672)
Institutions
- University of Maribor (SI)
Publication Details
- Journal
- Cubo
- Published
- 2026-11-03
- DOI
- https://doi.org/10.56754/0719-0646.2901.001
- Primary Topic
- Rings, Modules, and Algebras
- Type
- article
- Field-Weighted Citation Impact
- 0.00