The relationship between homological properties and representation theoretic realization of artin algebras

Iyama, Osamu

doi:10.1090/S0002-9947-04-03482-8

The relationship between homological properties and representation theoretic realization of artin algebras
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by Osamu Iyama

Trans. Amer. Math. Soc. 357 (2005), 709-734

DOI: https://doi.org/10.1090/S0002-9947-04-03482-8

Published electronically: July 16, 2004

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Abstract:

We will study the relationship of quite different objects in the theory of artin algebras, namely Auslander-regular rings of global dimension two, torsion theories, $\tau$-categories and almost abelian categories. We will apply our results to characterization problems of Auslander-Reiten quivers.

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