Some applications of a lemma by Hanes and Huneke
type: Item
instance of: scholarly article
title: Some applications of a lemma by Hanes and Huneke
zbMATH Open document ID: 1543.13021
author: Cleto B. Miranda-Neto
published in: Proceedings of the American Mathematical Society
publication date: 2024-06-13T00:00:00Z
review text: The paper is an attempt to solve a version of Berger's conjecture [\textit{R. Berger}, Math. Z. 81, 326--354 (1963; Zbl 0113.26302)] on the regularity of a ring of dimension one. For this reason, a result of \textit{D. Hanes} and \textit{C. Huneke} [J. Pure Appl. Algebra 201, No. 1--3, 4--16 (2005; Zbl 1090.13019)] has been used and then the aformentioned result shed some lights to see when an ideal is strongly non-obstructed and when a given semidualizing module is free.
reviewed by: Majid Eghbali
Mathematics Subject Classification ID: 13N05
Mathematics Subject Classification ID: 13H05
Mathematics Subject Classification ID: 13C13
zbMATH DE Number: 7864459
zbMATH Keywords: module of differentials
zbMATH Keywords: one-dimensional regular local ring
zbMATH Keywords: Berger's conjecture
MaRDI profile type: Publication
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DOI: 10.1090/PROC/16746
description: scientific article; zbMATH DE number 7864459