Аннотация:
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 $\mathcal{A}$ is a $2$-torsion free ring that is either semiprime or satisfies Condition (P), then, under certain conditions, every commuting Jordan derivation of $\mathcal{A}$ into itself is identically zero.
Ключевые слова:Jordan derivation, commuting map, left (right) Jordan derivation, triangular ring.
