TY - JOUR T1 - Certain Pair of Derivations on a Triangular Algebra AU - Guo , Ying AU - Li , Xia AU - Ma , Jing JO - Communications in Mathematical Research VL - 3 SP - 265 EP - 272 PY - 2021 DA - 2021/05 SN - 30 DO - http://doi.org/10.13447/j.1674-5647.2014.03.08 UR - https://global-sci.org/intro/article_detail/cmr/18971.html KW - triangular algebra, derivation, cocentralizing, the Engel condition. AB -
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.