Higher derivations of triangular algebras and its generalizations

Feng Wei; Zhankui Xiao

doi:10.1016/j.laa.2011.02.027

Higher derivations of triangular algebras and its generalizations

Feng Wei^*, Zhankui Xiao

^*Corresponding author for this work

School of Mathematics and Statistics

Huaqiao University

Research output: Contribution to journal › Article › peer-review

34 Citations (Scopus)

Abstract

Let R be a commutative ring with identity, A and B be unital algebras over R and M be a unital (it A,it B)-bimodule. Let T=AM0B be the triangular algebra consisting of A, it Band M. Motivated by the work of Cheung [14] we mainly consider the question whether every higher derivation on a triangular algebra is an inner higher derivation. We also give some characterizations on (generalized-)Jordan (triple-)higher derivations of triangular algebras.

Original language	English
Pages (from-to)	1034-1054
Number of pages	21
Journal	Linear Algebra and Its Applications
Volume	435
Issue number	5
DOIs	https://doi.org/10.1016/j.laa.2011.02.027
Publication status	Published - 1 Sept 2011

Keywords

(generalized-)Jordan (triple-)higher derivation
Higher derivation
Inner higher derivation
Triangular algebra

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KW - (generalized-)Jordan (triple-)higher derivation

KW - Higher derivation

KW - Inner higher derivation

KW - Triangular algebra

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Higher derivations of triangular algebras and its generalizations

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Keywords

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