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Representation dimension: An invariant under stable equivalence

Author(s): Xiangqian Guo
Journal: Trans. Amer. Math. Soc. 357 (2005), 3255-3263.
MSC (2000): Primary 16G10
Posted: October 7, 2004
MathSciNet review: 2135745
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Abstract | References | Similar articles | Additional information

Abstract: In this paper, we prove that the representation dimension is an invariant under stable equivalence.

References:

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2.: M. Auslander: Representation theory of artin algebras, I, Comm. Alg., 1(3), 177-268(1974). MR 50:2240
3.: M. Auslander and I. Reiten: Stable equivalence of Artin algebras, LNM 353, Proceedings of the conference in orders, groups and related topics. 8-71(1973). MR 49:356
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7.: M. Auslander, I. Reiten, and S. O. Smalo: Representation theory of artin algebras, Cambridge Studies in Advanced Mathematics, 36. Cambridge University Press, Cambridge, 1995.MR 96c:16015
8.: O. Iyama: Finiteness of representation dimension, Proc. Amer. Math. Soc., 131(2003), 1011-1014.MR 2003k:16024
9.: R. Martinez-Villa, Algebras stably equivalent to $\ell$ -hereditary, LNM 832, 396-431.MR 82b:16017

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Additional Information:

Xiangqian Guo
Affiliation: Department of Mathematics, Beijing Normal University, Beijing 100875, People's Republic of China
Address at time of publication: Institute of Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, People's Republic of China
Email: guoxq007@hotmail.com

DOI: 10.1090/S0002-9947-04-03596-2
PII: S 0002-9947(04)03596-2
Keywords: Representation dimension stable equivalence
Received by editor(s): August 24, 2003
Received by editor(s) in revised form: November 20, 2003
Posted: October 7, 2004
Dedicated: Dedicated To Daidai Cha
Copyright of article: Copyright 2004, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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