On ideals v-generated by two elements

Evan G. Houston; Moshe Roitman

doi:10.1080/00927879308824579

On ideals v-generated by two elements

Evan G. Houston, Moshe Roitman

Department of Mathematics

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

Abstract

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 language	English
Pages (from-to)	563-573
Number of pages	11
Journal	Communications in Algebra
Volume	21
Issue number	2
DOIs	https://doi.org/10.1080/00927879308824579
State	Published - 1 Jan 1993

ASJC Scopus subject areas

Algebra and Number Theory

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10.1080/00927879308824579

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On ideals v-generated by two elements

Abstract

ASJC Scopus subject areas

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