dc.contributor.author Planas Vilanova, Francesc d'Assís dc.contributor.other Universitat Politècnica de Catalunya. Departament de Matemàtiques dc.date.accessioned 2022-04-07T14:18:03Z dc.date.issued 2022-07-01 dc.identifier.citation Planas-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. dc.identifier.issn 1090-266X dc.identifier.uri http://hdl.handle.net/2117/365507 dc.description.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. dc.format.extent 10 p. dc.language.iso eng dc.publisher Elsevier dc.subject Àrees temàtiques de la UPC::Matemàtiques i estadística::Àlgebra::Anells i àlgebres dc.subject.lcsh Rings (Algebra) dc.subject.lcsh Commutative rings dc.subject.other Regular local rings dc.subject.other Gorenstein rings dc.subject.other syzygetic ideals dc.subject.other homology of André-Quillen dc.title Regular local rings of dimension four and Gorenstein syzygetic prime ideals dc.type Article dc.subject.lemac Anells (Àlgebra) dc.subject.lemac Anells commutatius dc.contributor.group Universitat Politècnica de Catalunya. GEOMVAP - Geometria de Varietats i Aplicacions dc.identifier.doi 10.1016/j.jalgebra.2022.02.017 dc.relation.publisherversion https://www.sciencedirect.com/science/article/abs/pii/S0021869322000965 dc.rights.access Restricted access - publisher's policy local.identifier.drac 33057393 dc.description.version Postprint (author's final draft) dc.date.lift 2024-07-01 local.citation.author Planas-Vilanova, F. A. local.citation.publicationName Journal of Algebra local.citation.volume 601 local.citation.startingPage 105 local.citation.endingPage 114
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