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


Author: Osamu Iyama
Journal: Trans. Amer. Math. Soc. 357 (2005), 709-734
MSC (2000): Primary 16E65; Secondary 16G70
DOI: https://doi.org/10.1090/S0002-9947-04-03482-8
Published electronically: July 16, 2004
MathSciNet review: 2095628
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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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Additional Information

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

DOI: https://doi.org/10.1090/S0002-9947-04-03482-8
Received by editor(s): July 9, 2002
Received by editor(s) in revised form: July 31, 2003
Published electronically: July 16, 2004
Article copyright: © Copyright 2004 American Mathematical Society

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