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.

引用

页码：1425 / 1430

页数：6

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