ON WEAK ARMENDARIZ IDEALS

被引：1

作者：

Hashemi, Ebrahim ^{[1
]}

机构：

[1] Shahrood Univ Technol, Dept Math, POB 316-3619995161, Shahrood, Iran

来源：

COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY | 2008年 / 23卷 / 03期

关键词：

Armendariz rings; weak Armendariz rings; semicommutative rings; weakly semicommutative rings;

D O I：

10.4134/CKMS.2008.23.3.333

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We introduce weak Armendariz ideals which are a generalization of ideals have the weakly insertion of factors property (or simply weakly IFP) and investigate their properties. Moreover, we prove that, if I is a weak Armendariz ideal of R, then I[x] is a weak Armendariz ideal of R[x]. As a consequence, we show that, R is weak Armendariz if and only if R[x] is a weak Armendariz ring. Also we obtain a generalization of [8] and [9].

引用

页码：333 / 342

页数：10

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