Generalized derivations with invertible or nilpotent values on multilinear polynomials

被引：14

作者：

Lin, JS ^{[1
]}

Liu, CK

机构：

[1] Natl Tsing Hua Univ, Dept Math, Hsinchu 300, Taiwan

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

来源：

COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 02期

关键词：

generalized derivation; multilinear polynomial; prime ring; semiprime ring;

D O I：

10.1080/00927870500387861

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a ring with unity, g a generalized derivation on R and f(X-1,..., X-k) a multilinear polynomial. In this article we describe the structure of R provided that g (f(x(1),...,x(k))) is either invertible or nilpotent for every x(1),...,x(k) in some nonzero ideal of R .

引用

页码：633 / 640

页数：8

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