Annihilator Conditions on Polynomials over Modules

被引：1

作者：

Hashemi, Ebrahim ^{[1
]}

机构：

[1] Shahrood Univ Thechnol, Dept Math, Shahrood, Iran

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2011年 / 8卷 / 02期

关键词：

Annihilator conditions; Nearrings; Baer rings; Reduced modules;

D O I：

10.1007/s00009-010-0078-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let R be a ring with unity and M be a right R-module. The system M[x] forms a left near R[x]-module under addition and substitution operations. In this paper we extend the study of annihilator conditions on nearring of polynomials to left near R[x]-module M[x], when M is a reduced Baer module. Also, we give a characterization of reduced modules. As a corollary we obtain some results of Birkenmeier and Huang [3].

引用

页码：207 / 214

页数：8

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