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

Author(s): Osamu Iyama
Journal: Trans. Amer. Math. Soc. 357 (2005), 709-734.
MSC (2000): Primary 16E65; Secondary 16G70
Posted: July 16, 2004
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Abstract | References | Similar articles | Additional information

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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Additional Information:

Osamu Iyama
Affiliation: Department of Mathematics, Himeji Institute of Technology, Himeji, 671-2201, Japan
Email: iyama@sci.himeji-tech.ac.jp

DOI: 10.1090/S0002-9947-04-03482-8
PII: S 0002-9947(04)03482-8
Received by editor(s): July 9, 2002
Received by editor(s) in revised form: July 31, 2003
Posted: July 16, 2004
Copyright of article: Copyright 2004, American Mathematical Society

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