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Bulletin of the London Mathematical Society
Article
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Preprint . 2007
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Bulletin of the London Mathematical Society
Article . 2009 . Peer-reviewed
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Article . 2007
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Finitistic dimension through infinite projective dimension

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 03 Mar 2009Embargo end date: 01 Jan 2007 English Publisher:WileyJournal:Bulletin of the London Mathematical Society, volume 41, pages 367-376 (issn: 0024-6093, Copyright policy )
Authors: Huard, Francois; Lanzilotta, Marcelo; Mendoza, Octavio;

doi: 10.1112/blms/bdp010 , 10.48550/arxiv.0709.4253

arXiv: 0709.4253

Finitistic dimension through infinite projective dimension

Abstract

We show that an artin algebra having at most three radical layers of infinite projective dimension has finite finitistic dimension, generalizing the known result for algebras with vanishing radical cube.

10 pages

Related Organizations
Keywords

16G70, 16G20, 16E10, FOS: Mathematics, Representation Theory (math.RT), Mathematics - Representation Theory

  • BIP!
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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 17
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Top 10%
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 Top 10%
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
17
Top 10%
Top 10%
Average
Green
bronze