A quasi-local half-factorial domain with an atomic non-half-factorial integral closure

Moshe Roitman

doi:10.1216/JCA-2011-3-3-431

A quasi-local half-factorial domain with an atomic non-half-factorial integral closure

Moshe Roitman

Department of Mathematics

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

Abstract

We construct a half-factorial quasi-local domain R, so that its integral closure R = R[t], where t², t³ ∈ R, is atomic but not half-factorial; R equals the seminormaliza-tion of R. Moreover, R is a quasi-local domain of bounded factorization, and every element in R of zero R-boundary is a unit in R.

Original language	English
Pages (from-to)	431-438
Number of pages	8
Journal	Journal of Commutative Algebra
Volume	3
Issue number	3
DOIs	https://doi.org/10.1216/JCA-2011-3-3-431
State	Published - 2011

ASJC Scopus subject areas

Algebra and Number Theory

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10.1216/JCA-2011-3-3-431

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abstract = "We construct a half-factorial quasi-local domain R, so that its integral closure R = R[t], where t2, t3 ∈ R, is atomic but not half-factorial; R equals the seminormaliza-tion of R. Moreover, R is a quasi-local domain of bounded factorization, and every element in R of zero R-boundary is a unit in R.",

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A quasi-local half-factorial domain with an atomic non-half-factorial integral closure

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