A note on zero-divisors of commutative rings

被引：3

作者：

Filipowicz, M. ^{[1
]}

Kepczyk, M. ^{[1
]}

机构：

[1] Bialystok Tech Univ, Dept Math, Wiejska 45A, PL-15351 Bialystok, Poland

来源：

ARABIAN JOURNAL OF MATHEMATICS | 2012年 / 1卷 / 02期

关键词：

D O I：

10.1007/s40065-012-0003-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we show that if a ring R has finite Goldie dimension, then every finitely generated ideal of R consisting of zero-divisors has non-zero annihilator. We also construct an example of a ring of infinite Goldie dimension such that above condition does not hold.

引用

页码：191 / 194

页数：4

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