Commuting Jordan derivations on triangular rings are zero
Rings and Algebras
2023-11-17 v1
Abstract
The main purpose of this article is to show that every commuting Jordan derivation on triangular rings (unital or not) is identically zero. Using this result, we prove that if is a 2-torsion free ring such that it is either semiprime or satisfies Condition (P), then every commuting Jordan derivation from into itself, under certain conditions, is identically zero.
Keywords
Cite
@article{arxiv.2311.09749,
title = {Commuting Jordan derivations on triangular rings are zero},
author = {Amin Hosseini and Wu Jing},
journal= {arXiv preprint arXiv:2311.09749},
year = {2023}
}