On ideals v-generated by two elements

Evan G. Houston, Moshe Roitman

Research output: Contribution to journalArticlepeer-review


We show here that a commutative domain R for which the divisorial closure of an ideal I of R equals the divisorial closure of a set of two elements in I is not necessarily Krull. We prove this assertion in a stronger form and present some positive results for Mori, noetherian and one dimensional domains.

Original languageEnglish
Pages (from-to)563-573
Number of pages11
JournalCommunications in Algebra
Issue number2
StatePublished - 1 Jan 1993

ASJC Scopus subject areas

  • Algebra and Number Theory


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