We study homological properties of the algebra of endomorphisms EndΛ(P∞)op, where Λ is an algebra of artin of infinite global dimension, and P∞ is the direct sum of the representatives of the isomorphism classes of indecomposable projective Λ-modules such that P/rP has infinite projective dimension.
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References
I. Assem. Algèbres et modules: cours et exercices. Enseignement des mathématiques. Les Presses de l’Université d’Ottawa–Masson, Ottawa–Paris,1997.
M. Auslander, I. Reiten, and S.O. Smalø. Representation Theory of Artin Algebras. Number 36 in Cambridge Studies in Advanced Mathematics. Cambridge University Press, Cambridge, 1995.
F. Huard, M. Lanzilotta, and O. Mendoza. Finitistic dimension through inifnite projective dimension. preprint, 2007.
