Commun. Math. Res., 30 (2014), pp. 265-272.
Published online: 2021-05
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By using properties of triangular algebra, we prove that if derivations $D$ and $G$ on a triangular algebra $\mathcal{T}$ satisfy certain generalized identities, then both $D$ and $G$ are zero mappings. As a corollary we get that if $D$ and $G$ are cocentralizing on $\mathcal{T}$, then both $D$ and $G$ are zero mappings.
}, issn = {2707-8523}, doi = {https://doi.org/10.13447/j.1674-5647.2014.03.08}, url = {http://global-sci.org/intro/article_detail/cmr/18971.html} }By using properties of triangular algebra, we prove that if derivations $D$ and $G$ on a triangular algebra $\mathcal{T}$ satisfy certain generalized identities, then both $D$ and $G$ are zero mappings. As a corollary we get that if $D$ and $G$ are cocentralizing on $\mathcal{T}$, then both $D$ and $G$ are zero mappings.