Regular local rings of dimension four and Gorenstein syzygetic prime ideals

Planas Vilanova, Francesc d'Assís

doi:10.1016/j.jalgebra.2022.02.017

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Planas Vilanova, Francesc d'Assís

Document typeArticle

Defense date2022-07-01

PublisherElsevier

Rights accessRestricted access - publisher's policy (embargoed until 2024-07-01)

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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Regular local rings of dimension four and Gorenstein syzygetic prime ideals

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