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Preprint . 2020
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Mathematische Nachrichten
Article . 2026 . Peer-reviewed
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https://dx.doi.org/10.48550/ar...
Article . 2020
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Valuation Rings as Limits of Complete Intersection Rings

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 21 May 2026Embargo end date: 01 Apr 2020 English Publisher:WileyJournal:Mathematische Nachrichten (issn: 0025-584X, eissn: 1522-2616, Copyright policy )
Authors: Popescu, Dorin;

doi: 10.1002/mana.70144 , 10.48550/arxiv.2004.11004

arXiv: 2004.11004

Valuation Rings as Limits of Complete Intersection Rings

Abstract

ABSTRACT We show that a valuation ring containing its residue field of characteristic is a filtered colimit of complete intersection ‐algebras.

Keywords

Commutative Algebra, FOS: Mathematics, Commutative Algebra (math.AC), Algebraic Geometry, Algebraic Geometry (math.AG)

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    influence
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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!
0
Average
Average
Average
Green