SEMIPRIME LIE RINGS OF (ANTI-)SYMMETRIC DERIVATIONS OF COMMUTATIVE RINGS

被引：1

作者：

Liu, Cheng-Kai ^{[1
]}

Liau, Pao-Kuei ^{[1
]}

机构：

[1] Natl Changhua Univ Educ, Dept Math, Changhua 500, Taiwan

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 04期

关键词：

Derivation; Involution; Lie ring; -Semiprime; ALGEBRAS; IDEALS;

D O I：

10.1080/00927872.2012.749261

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a 2-torsion free commutative ring with involution, and a nonzero derivation of R. Let S be the set of symmetric elements in R, and let K be the set of anti-symmetric elements in R. In this article, we investigate the semiprimeness of the Lie rings S when is symmetric and K when is anti-symmetric.

引用

页码：1747 / 1756

页数：10

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