On Cohen-Macaulayness and Gorensteinness of Rees algebras of integrally closed filtrations of height two equimultiple ideals
type: Item
instance of: scholarly article
title: On Cohen-Macaulayness and Gorensteinness of Rees algebras of integrally closed filtrations of height two equimultiple ideals
zbMATH Open document ID: 0953.13011
author: Duong Quoc Viet
published in: Acta Mathematica Vietnamica
publication date: 1999-06-20T00:00:00Z
review text: Let \((A,m)\) be a local ring with \(\dim A= d>0\) and \(I\) be an ideal of \(A\) with \(\text{ht} (I)> 0\). The integral closure of \(I\) is denoted by \(\overline{I}\) and the graded ring \(R(I)= \bigoplus \overline{I^n} t^n\) is defined as the normalized Rees algebra of \(I\). In this paper under review the author studies the Cohen-Macaulay and Gorenstein properties of the normalized Rees algebra of height two ideals. For Cohen-Macaulay rings \(A\), the problem was investigated in a series of papers by Goto, Nishida, Hoa, Zarzuela and Itoh.
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13A30
Mathematics Subject Classification ID: 13C14
zbMATH DE Number: 1268014
zbMATH Keywords: Cohen-Macaulay property
zbMATH Keywords: integral closure
zbMATH Keywords: normalized Rees algebra
zbMATH Keywords: Gorenstein properties
zbMATH Keywords: height two ideals
reviewed by: Satyagopal Mandal
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1268014