ADDITIVITY OF JORDAN (TRIPLE) DERIVATIONS ON RINGS

被引：19

作者：

Jing, Wu ^{[1
]}

Lu, Fangyan ^{[2
]}

机构：

[1] Fayetteville State Univ, Dept Math & Comp Sci, Fayetteville, NC 28301 USA

[2] Suzhou Univ, Dept Math, Suzhou 215006, Peoples R China

来源：

COMMUNICATIONS IN ALGEBRA | 2012年 / 40卷 / 08期

关键词：

Additivity; Derivations; Idempotents; Jordan derivations; Jordan triple derivations; Peirce decomposition; Prime rings; Semiprime rings; Standard operator algebras; SEMIPRIME RINGS; MAPS; MAPPINGS;

D O I：

10.1080/00927872.2011.584927

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let delta be a mapping from ring R into itself satisfying delta(ab + ba) = delta(a)b + a delta(b) + delta(b)a + b delta(a) or delta(aba) = delta(a)ba + a delta(b)a + ab delta(a) for all a, b is an element of R. Under some conditions on R, we show that delta is additive.

引用

页码：2700 / 2719

页数：20

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