Complete local \((S_{n-1})\) rings of type \(n\geq 3\) are Cohen-Macaulay
type: Item
instance of: scholarly article
title: Complete local \((S_{n-1})\) rings of type \(n\geq 3\) are Cohen-Macaulay
zbMATH Open document ID: 0827.13011
author: Yoichi Aoyama
published in: Proceedings of the Japan Academy. Series A
publication date: 1994-07-12T00:00:00Z
review text: Soient \(A\) un anneau local noethérien de dimension \(d\), d'idéal maximal \(M\), de corps résiduel \(k = A/M\) et \(r(A) = \dim_k \text{Ext}^d_A (k,A)\). L'A. démontre le résultat principal suivant: Soit \(n \geq 3\) un nombre entier. Si \(r(A) \leq n\) et le complété \(\widehat A\) de \(A\) a la propriété \((S_{n - 1})\), alors \(A\) est un anneau de Cohen-Macaulay.
reviewed by: Nicolae Radu
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13C14
Mathematics Subject Classification ID: 14M05
zbMATH DE Number: 605457
zbMATH Keywords: Cohen-Macaulay property
MaRDI profile type: Publication
full work available at URL: pjaa.70.80
OpenAlex ID: W2074069865
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DOI: 10.3792/PJAA.70.80
description: scientific article; zbMATH DE number 605457