ON MULTIPLICATIVE LIE n-HIGHER DERIVATIONS OF TRIANGULAR ALGEBRAS

被引：0

作者：

Ashraf, Mohammad ^{[1
]}

Jabeen, Aisha ^{[2
]}

Ansari, Mohammad Afajal ^{[1
]}

Akhtar, Mohd Shuaib ^{[1
]}

机构：

[1] Aligarh Muslim Univ, Dept Math, Aligarh 202002, Uttar Pradesh, India

[2] Jamia Millia Islamia, Dept Appl Sci & Humanities, New Delhi 110025, India

来源：

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2021年 / 36卷 / 05期

关键词：

Triangular algebras; Lie type derivation; TRIPLE DERIVATIONS; MAPPINGS;

D O I：

10.22190/FUMI210405073A

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a commutative ring with unity, A, B be R-algebras and M be an (A, B)-bimodule. Let T = Tri(A, M, B) be a (n - 1)-torsion free triangular algebra. In this article, we prove that every multiplicative Lie n-higher derivation on triangular algebras has the standard form. Also, the main result is applied to some classical examples of triangular algebras such as upper triangular matrix algebras and nest algebras.

引用

页码：995 / 1017

页数：23

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