Generalized lie derivations in prime rings

被引：22
|
作者：
Hvala, Bojan [1 ]
机构：
[1] Univ Maribor, Dept Math, PEF, SLO-2000 Maribor, Slovenia
来源：
TAIWANESE JOURNAL OF MATHEMATICS | 2007年 / 11卷 / 05期
关键词：
prime ring; derivation; generalized derivation; lie derivation; functional identities; generalized lie derivation;
D O I：
10.11650/twjm/1500404875
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We define generalized Lie derivations on rings and prove that every generalized Lie derivation on a prime ring R is a sum of a generalized derivation from R into its central closure RC and an additive map from R into the extended centroid C sending commutators to zero.
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页码：1425 / 1430
页数：6
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