%0 Journal Article %T Finitistic dimension through infinite projective dimension %A Francois Huard %A Marcelo Lanzilotta %A Octavio Mendoza %J Mathematics %D 2007 %I arXiv %X 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. %U http://arxiv.org/abs/0709.4253v2