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
收藏
页码：2700 / 2719
页数：20
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