Homological dimension of finitely generated module having simple module as direct factor
type: Item
instance of: scholarly article
title: Homological dimension of finitely generated module having simple module as direct factor
zbMATH Open document ID: 0822.13008
author: Mingsheng Wang
published in: Chinese Science Bulletin
publication date: 1994-11-03T00:00:00Z
review text: The main result of the paper states that for a commutative Noetherian ring \(R\) there exists a nonzero finitely generated \(R\)-module of finite injective dimension if and only if \(R_ m\) is a Cohen-Macaulay ring for some maximal ideal \(m\) of \(R\).
Mathematics Subject Classification ID: 13D05
Mathematics Subject Classification ID: 13C05
Mathematics Subject Classification ID: 13H10
Mathematics Subject Classification ID: 13E05
zbMATH DE Number: 682128
zbMATH Keywords: simple module
zbMATH Keywords: injective dimension
zbMATH Keywords: Cohen-Macaulay ring
reviewed by: Stanisław Balcerzyk
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 682128