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Regular local rings of dimension four and Gorenstein syzygetic prime ideals

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10.1016/j.jalgebra.2022.02.017
 
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Planas Vilanova, Francesc d'AssísMés informacióMés informacióMés informació
Document typeArticle
Defense date2022-07-01
PublisherElsevier
Rights accessRestricted access - publisher's policy (embargoed until 2024-07-01)
All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder
Abstract
Let R be a Noetherian local ring. We prove that R is regular of dimension at most 4 if, and only if, every prime ideal, defining a Gorenstein quotient ring, is syzygetic. We deduce a characterization of these rings in terms of the André-Quillen homology.
CitationPlanas-Vilanova, F.A. Regular local rings of dimension four and Gorenstein syzygetic prime ideals. "Journal of Algebra", 1 Juliol 2022, vol. 601, p. 105-114. 
URIhttp://hdl.handle.net/2117/365507
DOI10.1016/j.jalgebra.2022.02.017
ISSN1090-266X
Publisher versionhttps://www.sciencedirect.com/science/article/abs/pii/S0021869322000965
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