Proyectización y Dimensiones Homológicas

Juan Carlos Bustamante; François Huard; David Smith

doi:10.18272/aci.v1i1.3125

Articles

Vol. 1 No. 1 (2009)

Projection and Homological Dimensions

Juan Carlos Bustamante⁺⁻
François Huard⁺⁻
David Smith⁺⁻

DOI: https://doi.org/10.18272/aci.v1i1.3125
Submitted: October 16, 2023
Published: 2009-04-01

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.

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

This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

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[1] I. Assem. Algèbres et modules: cours et exercices. Enseignement des mathématiques. Les Presses de l’Université d’Ottawa–Masson, Ottawa–Paris,1997.

[2] 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.

[3] F. Huard, M. Lanzilotta, and O. Mendoza. Finitistic dimension through inifnite projective dimension. preprint, 2007.