Finitistic and Representation Dimensions

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dc.creatorWei, Jiaqun
dc.date2008-03-24
dc.date2008-04-14
dc.date.accessioned2026-07-07T09:31:57Z
dc.date.available2026-07-07T09:31:57Z
dc.descriptionWe prove that the finitistic dimension conjecture, the Gorenstein Symmetry Conjecture, the Wakamatsu-tilting conjecture and the generalized Nakayama conjecture hold for artin algebras which can be realized as endomorphism algebras of modules over representation-finite algebras. Note it is a question whether or not all artin algebras have such realizations. It was also shown that if every quasi-hereditary algebras has a left idealized extension which is a monomial algebra or an algebra whose representation dimension is not more than 3, then the finitistic dimension conjecture holds.
dc.description8 pages; correct an error
dc.identifierhttps://arxiv.org/abs/0803.3364
dc.identifierhttp://arxiv.org/abs/0803.3364
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/158640
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.subject16E05; 16E10; 16G20
dc.titleFinitistic and Representation Dimensions
dc.typetext

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