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Bulletin of the London Mathematical Society Advance Access originally published online on March 3, 2009
Bulletin of the London Mathematical Society 2009 41(2):367-376; doi:10.1112/blms/bdp010
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© 2009 London Mathematical Society

Finitistic dimension through infinite projective dimension

François Huard

Department of Mathematics
Bishop's University
Sherbrooke
Québec
Canada J1M1Z7

Marcelo Lanzilotta

Centro de Matemática (CMAT), Iguá 4225
Universidad de la República
CP 11400 Montevideo, Uruguay
marclan@cmat.edu.uy

Octavio Mendoza

Instituto de Matemáticas
Universidad Nacionale Autónoma de
México
Circuito Exterior
Ciudad Universitaria
CP 04510 México, DF
México
omendoza@matem.unam.mx

Received 1 November 2007. Revision received 10 November 2008.

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

2000 Mathematics Subject Classification 16G70, 16G20, 16E10.

The last author was partially supported by the project PAPIIT-Universidad Nacional Autónoma de México IN101607.


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