Homological dimensions over non-commutative semi-local rings
type: Item
instance of: scholarly article
title: Homological dimensions over non-commutative semi-local rings
zbMATH Open document ID: 0822.16005
author: Fuchang Cheng
author: Jin Zhong Xu
published in: Journal of Algebra
publication date: 1995-10-05T00:00:00Z
review text: Various well-known results about the homological dimensions of commutative Noetherian semilocal rings are extended to a noncommutative setting. Typical hypothesis: \(R\) is left coherent and semilocal. Typical conclusion: The weak global dimension of \(R\) equals the weak right dimension of \(R/J(R)\) (as \(R\)-module) equals the left injective dimensions of \(R/J(R)\) (as \(R\)-module).
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16L30
zbMATH DE Number: 701271
zbMATH Keywords: homological dimensions
zbMATH Keywords: semilocal rings
zbMATH Keywords: left coherent rings
zbMATH Keywords: weak global dimension
zbMATH Keywords: weak right dimension
zbMATH Keywords: left injective dimensions
reviewed by: Kenneth A. Brown
MaRDI profile type: Publication
full work available at URL: jabr.1994.1303
OpenAlex ID: W2003999339
DOI: 10.1006/JABR.1994.1303
description: scientific article; zbMATH DE number 701271