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

^*此作品的通讯作者

数学学院

Huaqiao University

科研成果: 期刊稿件 › 文章 › 同行评审

35 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	1034-1054
页数	21
期刊	Linear Algebra and Its Applications
卷	435
期	5
DOI	https://doi.org/10.1016/j.laa.2011.02.027
出版状态	已出版 - 1 9月 2011

访问文件

10.1016/j.laa.2011.02.027

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{164ac9dc6eea4b08b84305691710ec28,

title = "Higher derivations of triangular algebras and its generalizations",

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.",

keywords = "(generalized-)Jordan (triple-)higher derivation, Higher derivation, Inner higher derivation, Triangular algebra",

author = "Feng Wei and Zhankui Xiao",

year = "2011",

month = sep,

day = "1",

doi = "10.1016/j.laa.2011.02.027",

language = "English",

volume = "435",

pages = "1034--1054",

journal = "Linear Algebra and Its Applications",

issn = "0024-3795",

publisher = "Elsevier Inc.",

number = "5",

}

TY - JOUR

T1 - Higher derivations of triangular algebras and its generalizations

AU - Wei, Feng

AU - Xiao, Zhankui

PY - 2011/9/1

Y1 - 2011/9/1

N2 - 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.

AB - 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.

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

KW - Higher derivation

KW - Inner higher derivation

KW - Triangular algebra

UR - http://www.scopus.com/inward/record.url?scp=79959251954&partnerID=8YFLogxK

U2 - 10.1016/j.laa.2011.02.027

DO - 10.1016/j.laa.2011.02.027

M3 - Article

AN - SCOPUS:79959251954

SN - 0024-3795

VL - 435

SP - 1034

EP - 1054

JO - Linear Algebra and Its Applications

JF - Linear Algebra and Its Applications

IS - 5

ER -

Higher derivations of triangular algebras and its generalizations

摘要

访问文件

其它文件与链接

指纹

引用此