Vanishing of Ext modules over algebras
type: Item
instance of: scholarly article
title: Vanishing of Ext modules over algebras
zbMATH Open document ID: 1544.13021
author: Ali Mahin Fallah
published in: Archiv der Mathematik
publication date: 2024-05-13T00:00:00Z
review text: \textit{T. Araya} [Proc. Am. Math. Soc. 137, No. 6, 1941--1944 (2009; Zbl 1163.13015)] proved a result related to vanishing of Ext of finitely generated modules over Gorenstein local rings. A similar result was given by \textit{K. Kimura} et al. [Bull. Lond. Math. Soc. 54, No. 6, 2456--2468 (2022; Zbl 1520.13016)] over Cohen-Macaulay rings. The author has extended this result for certain algebras over Cohen-Macaulay local rings.
reviewed by: Reza Sazeedeh
Mathematics Subject Classification ID: 13D07
Mathematics Subject Classification ID: 13E05
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 16G30
Mathematics Subject Classification ID: 18G25
zbMATH DE Number: 7846259
zbMATH Keywords: Auslander-Reiten conjecture
zbMATH Keywords: Noetherian algebras
zbMATH Keywords: Cohen-Macaulay rings
MaRDI profile type: Publication
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DOI: 10.1007/S00013-024-01981-3
description: scientific article; zbMATH DE number 7846259