Prime Lie rings of derivations of commutative rings

被引：9

作者：

Chebotar, Mikhail A.

Lee, Pjek-Hwee

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

[2] Natl Ctr Theoret Sci, Taipei Off, Taipei 106, Taiwan

[3] Kent State Univ, Dept Math Sci, Kent, OH USA

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 12期

关键词：

derivation; Lie ring; prime; delta-prime;

D O I：

10.1080/00927870600878140

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R he a 2-torsion free commutative ring with identity, and delta a nonzero derivation of R such that R is delta-prime. Then R delta is a prune Lie ring and any nonzero ideal of R delta contains an ideal of the form J delta where J is a nonzero delta-ideal of R.

引用

页码：4339 / 4344

页数：6

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