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

Osamu Iyama
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Abstract

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

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Osamu Iyama. 2003-07-31. The relationship between homological properties and representation theoretic realization of artin algebras. https://arxiv.org/abs/math/0307392

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