Partial Skew Polynomial Rings and Goldie Rings

被引：13

作者：

Cortes, Wagner ^{[1
]}

Ferrero, Miguel ^{[1
]}

Marubayashi, Hidetoshi ^{[2
]}

机构：

[1] Univ Fed Rio Grande do Sul, Inst Matemat, BR-91509900 Porto Alegre, RS, Brazil

[2] Naruto Univ Educ, Dept Math, Naruto 772, Japan

来源：

COMMUNICATIONS IN ALGEBRA | 2008年 / 36卷 / 11期

关键词：

Goldie rings; Partial action; Semiprime rings;

D O I：

10.1080/00927870802107645

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove that if R is a semiprime ring and is a partial action of an infinite cyclic group on R, then R is right Goldie if and only if R[x; ] is right Goldie if and only if Rx; is right Goldie, where R[x; ] (Rx; ) denotes the partial skew (Laurent) polynomial ring over R. In addition, Rx; is semiprime while R[x; ] is not necessarily semiprime.

引用

页码：4284 / 4295

页数：12

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