ON THE FINITENESS OF NOETHERIAN RINGS WITH FINITELY MANY REGULAR ELEMENTS

被引：0

作者：

Akbari, S. ^{[1
,2
]}

Heydari, F. ^{[3
]}

机构：

[1] Sharif Univ Technol, Dept Math Sci, Tehran, Iran

[2] Inst Res Fundamental Sci IPM, Sch Math, Tehran, Iran

[3] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran

来源：

COMMUNICATIONS IN ALGEBRA | 2014年 / 42卷 / 07期

关键词：

Noetherian ring; Regular element; 16P40;

D O I：

10.1080/00927872.2013.765009

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let R be a left Noetherian ring and ZD(R) be the set of all zero-divisors of R. In this paper, it is shown that if R\ZD(R) is finite, then R is finite.

引用

页码：2869 / 2870

页数：2