Vol. 1 No. 1 (2009), Articles
Vol. 1 No. 1 (2009)

Projection and Homological Dimensions

Articles
Published 2009-04-01
Juan Carlos Bustamante
San Francisco de Quito University, USFQ
François Huard
Department of Mathematics Bishop’s University
David Smith
Department of Mathematics Bishop’s University
Portada ACI Avances en Ciencias e Ingenierías Vol. 1 No. 1
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Keywords

finite dimension
homological dimensions

How to Cite

Bustamante, J. C., Huard, F., & Smith, D. (2009). Projection and Homological Dimensions. ACI Avances En Ciencias E Ingenierías, 1(1), 31-35. https://doi.org/10.18272/aci.v1i1.3125
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Abstract

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.

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Copyright (c) 2009 Robert Regalado