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

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

2003-07-31

arxiv.org/abs/math/0307392v1

Trans. Amer. Math. Soc. 357 (2005), no. 2, 709--734

Mathematics

Rings and Algebras

Scientific paper

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, $\tau$-categories and almost abelian categories. We will apply our
results to characterization problems of Auslander-Reiten quivers.

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