Projective dimension in UFDs
type: Item
instance of: scholarly article
title: Projective dimension in UFDs
zbMATH Open document ID: 0962.13015
DOI: 10.1016/S0022-4049(99)00067-5
published in: Journal of Pure and Applied Algebra
publication date: 2001-01-11T00:00:00Z
review text: A submodule \(M\) of a module \(N\) over a domain \(R\) is said to be a 0-submodule if \(N/M\) is torsion free. In the paper, a characterization of factorial Noetherian domains in terms of 0-submodules is presented and it is applied to give a criterion for the ring of a hypersurface to be factorial and to reduce a conjecture of Evans and Griffith in syzygies to ideals.
reviewed by: Iuliu Crivei
Mathematics Subject Classification ID: 13F15
Mathematics Subject Classification ID: 13C15
zbMATH DE Number: 1501626
zbMATH Keywords: factorial domains
zbMATH Keywords: 0-submodules
author: Agustin Marcelo
author: Jaime Muñoz Masqué
MaRDI profile type: Publication
cites work: Q4274969
cites work: Q4317713
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cites work: On an application of the Fitting invariants
cites work: Prime submodules, the descent invariant, and modules of finite length
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cites work: Computational methods of commutative algebra and algebraic geometry. With chapters by David Eisenbud, Daniel R. Grayson, Jürgen Herzog and Michael Stillman
full work available at URL: s0022-4049(99)00067-5
OpenAlex ID: W2095384550
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description: scientific article; zbMATH DE number 1501626