Finitely presented dimension of commutative rings and modules
type: Item
instance of: scholarly article
title: Finitely presented dimension of commutative rings and modules
zbMATH Open document ID: 0558.13008
author: Ho Kuen Ng
published in: Pacific Journal of Mathematics
publication date: 1984-01-01T00:00:00Z
review text: The author defines a dimension, called the finitely presented dimension, for modules and commutative rings. This dimension measures how far away a module is from being finitely presented and how far away a ring is from being Noetherian. This dimension has nice properties when the ring in question is coherent. In this case, the finitely presented dimension is compared with the global dimension and the weak global dimension and it is shown that \(gl.\dim (R)=\sup (w.g.\dim (R),f.p.\dim (R)-1).\)
Mathematics Subject Classification ID: 13C15
Mathematics Subject Classification ID: 13E15
Mathematics Subject Classification ID: 13D05
zbMATH DE Number: 3889681
zbMATH Keywords: coherent ring
zbMATH Keywords: finitely presented dimension
reviewed by: Serban Raianu
MaRDI profile type: Publication
full work available at URL: pjm.1984.113.417
OpenAlex ID: W2001399690
DOI: 10.2140/PJM.1984.113.417
description: scientific article; zbMATH DE number 3889681