Gabriel dimension of graded rings
type: Item
instance of: scholarly article
title: Gabriel dimension of graded rings
zbMATH Open document ID: 0545.13006
published in: Rendiconti del Seminario Matematico della Università di Padova
publication date: 1984-01-01T00:00:00Z
full work available at URL: http://www.numdam.org/item
full work available at URL: https://eudml.org/doc/107932
review text: This paper deals with the following problem: does a graded module with graded Gabriel dimension have a Gabriel dimension when regarded without grading? The note provides an affirmative answer to this question in the commutative case, and the results are applied in order to obtain an evaluation for the Gabriel dimension of polynomials. Recently, the same authors succeeded to prove the non-commutative case of the above problem.
Mathematics Subject Classification ID: 13C15
Mathematics Subject Classification ID: 13F20
Mathematics Subject Classification ID: 16W50
zbMATH DE Number: 3867470
zbMATH Keywords: graded module
zbMATH Keywords: graded Gabriel dimension
zbMATH Keywords: Gabriel dimension of polynomials
author: Constantin Năstăsescu
author: Serban Raianu
MaRDI profile type: Publication
cites work: Des catégories abéliennes
cites work: The Gabriel dimension of a module
cites work: Q4402045
cites work: La filtrazione di Gabriel. II
cites work: Graded and filtered rings and modules
cites work: On the dimension theory of rings. II
description: scientific article; zbMATH DE number 3867470