A characterization of cancellation ideals

被引：23

作者：

Anderson, DD ^{[1
]}

Roitman, M ^{[1
]}

机构：

[1] UNIV HAIFA,DEPT MATH,IL-31905 HAIFA,ISRAEL

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1997年 / 125卷 / 10期

关键词：

cancellation ideal;

D O I：

10.1090/S0002-9939-97-04042-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

An ideal I of a commutative ring R with identity is called a cancellation ideal if whenever IB = IC for ideals B and C of R, then B = C. We show that an ideal I is a cancellation ideal if and only if I is locally a regular principal ideal.

引用

页码：2853 / 2854

页数：2