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A characterization of cancellation ideals
Journal article   Open access   Peer reviewed

A characterization of cancellation ideals

D. D. Anderson and Moshe Roitman
Proceedings of the American Mathematical Society, Vol.125(10), pp.2853-2854
10/01/1997
DOI: 10.1090/S0002-9939-97-04042-2
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https://doi.org/10.1090/S0002-9939-97-04042-2View
Published (Version of record) Open Access

Abstract

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