Graded Dedekind rings
type: Item
instance of: scholarly article
title: Graded Dedekind rings
zbMATH Open document ID: 0547.16001
DOI: 10.1016/0022-4049(85)90033-7
author: Michel van den Berg
published in: Journal of Pure and Applied Algebra
publication date: 1985-01-01T00:00:00Z
review text: Generalized Rees rings were introduced by F. van Oystaeyen as a particular case of graded Dedekind rings. The author uses this class of rings for the study of the graded module category and the graded class group of a graded Dedekind ring. Since the theory of graded Dedekind rings is not completely parallel to the ungraded case, the author derives some results which may be used as substitutes for those parts of the ungraded case that cannot be recovered in a trivial way.
Mathematics Subject Classification ID: 16W50
Mathematics Subject Classification ID: 16H05
Mathematics Subject Classification ID: 13F05
zbMATH DE Number: 3871569
zbMATH Keywords: Generalized Rees rings
zbMATH Keywords: graded Dedekind rings
zbMATH Keywords: graded module category
zbMATH Keywords: graded class group
reviewed by: Constantin Năstăsescu
MaRDI profile type: Publication
full work available at URL: 0022-4049(85)90033-7
OpenAlex ID: W2050037576
cites work: Q3957087
cites work: Some constructions of rings
cites work: Q4244406
cites work: Diagonalization of matrices over graded principal ideal domains
cites work: Q4061092
cites work: Generalized Rees rings and relative maximal orders satisfying polynomial identities
cites work: A relative version of the Chase-Harrison-Rosenberg sequence
cites work: Q4142029
description: scientific article; zbMATH DE number 3871569