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