On the finitistic dimension conjecture. I: Related to representation-finite algebras.
type: Item
instance of: scholarly article
title: On the finitistic dimension conjecture. I: Related to representation-finite algebras.
zbMATH Open document ID: 1067.16016
published in: Journal of Pure and Applied Algebra
publication date: 2004-08-19T00:00:00Z
review text: The finitistic dimension conjecture for Artin algebras asserts that the finitistic dimension of any such algebra is finite. In the paper under review, the author adds several new classes of algebras for which the conjecture is true. Those classes are obtained by applying certain constructions to representation-finite algebras. Among such constructions are: dual extensions, trivially twisted extensions, Hochschild extensions, matrix algebras, tensor products with algebras of radical-square zero, and others.
reviewed by: Alex Martsinkovsky
Mathematics Subject Classification ID: 16G10
Mathematics Subject Classification ID: 16E10
Mathematics Subject Classification ID: 16G60
zbMATH DE Number: 2092916
zbMATH Keywords: finitistic dimension conjecture
zbMATH Keywords: Artin algebras
zbMATH Keywords: finite representation type
author: Changchang Xi
MaRDI profile type: Publication
full work available at URL: j.jpaa.2004.03.009
OpenAlex ID: W2150194480
Wikidata QID: Q122860585
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DOI: 10.1016/J.JPAA.2004.03.009
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description: scientific article; zbMATH DE number 2092916