Multiplicative generalized Lie n-derivations of unital rings with idempotents

被引：10

作者：

Ashraf, Mohammad ^{[1
]}

Ansari, Mohammad Afajal ^{[1
]}

机构：

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

来源：

REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS | 2022年 / 116卷 / 02期

关键词：

Unital ring; Matrix ring; Nest algebra; Multiplicative Lie n-derivation; Multiplicative generalized Lie n-derivation; TRIPLE DERIVATIONS; ALGEBRAS;

D O I：

10.1007/s13398-022-01233-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let u be a unital ring with a nontrivial idempotent. In this paper, it is shown that under certain conditions every multiplicative generalized Lie n-derivation Delta : u -> u is of the form Delta(u) = zu + delta(u), where z is an element of Z(u) and delta : u -> u is a multiplicative Lie n-derivation. The main result is then applied to some classical examples of unital rings with nontrivial idempotents such as triangular rings, matrix rings, nest algebras, and algebras of bounded linear operators.

引用

页数：14

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