A characterization of cancellation ideals

D. D. Anderson, Moshe Roitman

Research output: Contribution to journalArticlepeer-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 languageEnglish
Pages (from-to)2853-2854
Number of pages2
JournalProceedings of the American Mathematical Society
Volume125
Issue number10
DOIs
StatePublished - 1997

Keywords

  • Cancellation ideal

ASJC Scopus subject areas

  • Mathematics (all)
  • Applied Mathematics

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