A note on zero-divisors of commutative rings

被引：2
|
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
收藏
页码：191 / 194
页数：4
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