On presented dimensions of modules and rings.
type: Item
instance of: scholarly article
title: On presented dimensions of modules and rings.
zbMATH Open document ID: 1193.16007
DOI: 10.1155/2010/256267
author: Dexu Zhou
author: Zhiwei Gong
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2010-06-25T00:00:00Z
full work available at URL: https://eudml.org/doc/229005
review text: Summary: We define the presented dimensions for modules and rings to measure how far away a module is from having an infinite finite presentation and develop ways to compute the projective dimension of a module with a finite presented dimension and the right global dimension of a ring. We also make a comparison of the right global dimension, the weak global dimension, and the presented dimension and divide rings into four classes according to these dimensions.
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16E30
zbMATH DE Number: 5726437
zbMATH Keywords: presented dimensions
zbMATH Keywords: presentations
zbMATH Keywords: projective dimension
zbMATH Keywords: global dimensions
MaRDI profile type: Publication
OpenAlex ID: W1981405206
Wikidata QID: Q58651717
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description: scientific article; zbMATH DE number 5726437