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Journal of Commutative Algebra
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Preprint . 2015
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Journal of Commutative Algebra
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Perinormality in pullbacks

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 01 Aug 2019Embargo end date: 01 Jan 2015Publisher:Rocky Mountain Mathematics ConsortiumJournal:Journal of Commutative Algebra, volume 11 (issn: 1939-2346, Copyright policy )
Authors: Epstein, Neil; Shapiro, Jay;

doi: 10.1216/jca-2019-11-3-341 , 10.48550/arxiv.1511.06473

arXiv: 1511.06473

Abstract

Major revision. Due to an error in the main theorem of section 3 in version 1, we have reworked the notion of fragility into three potentially separate notions. There are several related new localization results. Several other things in the paper have changed a bit, most notably Corollary 2.6 (also now corrected). 18 pages, comments welcome

We further develop the notion of perinormality from our last paper, showing that it is preserved by many pullback constructions. In doing so, we introduce the concepts of relative perinormality and fragility for ring extensions.

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Keywords

Pullbacks, going down, 13F45, generalized Krull domain, perinormal, Mathematics - Commutative Algebra, Commutative Algebra (math.AC), 13B21, pullbacks, 13B21, 13F05, 13F45, FOS: Mathematics, 13F05, fragile, Seminormal rings, Integral dependence in commutative rings; going up, going down, Dedekind, Prüfer, Krull and Mori rings and their generalizations

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
bronze