Regular local rings of dimension four and Gorenstein syzygetic prime ideals
View/Open
Article (239,7Kb) (Restricted access)
Request copy
Què és aquest botó?
Aquest botó permet demanar una còpia d'un document restringit a l'autor. Es mostra quan:
- Disposem del correu electrònic de l'autor
- El document té una mida inferior a 20 Mb
- Es tracta d'un document d'accés restringit per decisió de l'autor o d'un document d'accés restringit per política de l'editorial
Cita com:
hdl:2117/365507
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.
ISSN1090-266X
Files | Description | Size | Format | View |
---|---|---|---|---|
regular local.pdf![]() | Article | 239,7Kb | Restricted access |