A note on derivations, additive subgroups, and Lie ideals of prime rings

被引：7

作者：

Chebotar, MA ^{[2
]}

Lee, PH

Wong, TL

机构：

[1] Tula State Univ, Dept Mech & Math, Tula, Russia

[2] Natl Taiwan Univ, Dept Math, Taipei 10764, Taiwan

[3] Natl Sun Yat Sen Univ, Dept Appl Math, Kaohsiung 80424, Taiwan

来源：

COMMUNICATIONS IN ALGEBRA | 2002年 / 30卷 / 10期

关键词：

D O I：

10.1081/AGB-120014682

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a prime ring of characteristic not 2 or 3 and L a noncentral Lie ideal of R. If D is a nonzero derivation of R, then the additive subgroup of R generated by the subset {[x(D), x] \ x is an element of L} contains a noncentral Lie ideal of R.

引用

页码：5011 / 5021

页数：11

共 26 条

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