A CHARACTERIZATION OF CANCELLATION IDEALS

Authors
ANDERSON DD ROITMAN M
Citation
Dd. Anderson et M. Roitman, A CHARACTERIZATION OF CANCELLATION IDEALS, Proceedings of the American Mathematical Society, 125(10), 1997, pp. 2853-2854
Citations number
2
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
125
Issue
10
Year of publication
1997
Pages
2853 - 2854
Database
ISI
SICI code
0002-9939(1997)125:10<2853:ACOCI>2.0.ZU;2-X
Abstract
An ideal I of a commutative ring R with identity is called a cancellat ion 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 local ly a regular principal ideal.