Certain Pair of Derivations on a Triangular Algebra

Certain Pair of Derivations on a Triangular Algebra

Year:    2014

Author:    Ying Guo, Xia Li, Jing Ma

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 265–272

Abstract

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.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.13447/j.1674-5647.2014.03.08

Communications in Mathematical Research , Vol. 30 (2014), Iss. 3 : pp. 265–272

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    8

Keywords:    triangular algebra derivation cocentralizing the Engel condition.

Author Details

Ying Guo

Xia Li

Jing Ma