A characterization of cancellation ideals

D. D. Anderson; Moshe Roitman

doi:10.1090/s0002-9939-97-04042-2

A characterization of cancellation ideals

D. D. Anderson, Moshe Roitman

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

An ideal I of a commutative ring R with identity is called a cancellation ideal if whenever IB = 1C 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.

Original language	English
Pages (from-to)	2853-2854
Number of pages	2
Journal	Proceedings of the American Mathematical Society
Volume	125
Issue number	10
DOIs	https://doi.org/10.1090/s0002-9939-97-04042-2
State	Published - 1997

Keywords

Cancellation ideal

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.1090/s0002-9939-97-04042-2

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A characterization of cancellation ideals

Abstract

Keywords

ASJC Scopus subject areas

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