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math.RT2007
An approach to the finitistic dimension conjecture
François Huard, Octavio Mendoza, Marcelo Lanzilotta
Let be a finite dimensional -algebra over an algebraically closed field and be the category of all finitely generated left -modules. For a given full…
math.RT2007
Finitistic dimension through infinite projective dimension
Francois Huard, Marcelo Lanzilotta, Octavio Mendoza
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…
math.RA2007
Skew group algebras of piecewise hereditary algebras are piecewise hereditary
Julie Dionne, Marcelo Lanzilotta, David Smith
We show that the main results of Happel-Rickard-Schofield (1988) and Happel-Reiten-Smalo (1996) on piecewise hereditary algebras are coherent with the notion of group action on an…