Finiteness of representation dimension

Author:
Osamu Iyama

Journal:
Proc. Amer. Math. Soc. **131** (2003), 1011-1014

MSC (2000):
Primary 16G10; Secondary 16E10

DOI:
https://doi.org/10.1090/S0002-9939-02-06616-9

Published electronically:
July 17, 2002

MathSciNet review:
1948089

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Abstract | References | Similar Articles | Additional Information

Abstract: We will show that any module over an artin algebra is a direct summand of some module whose endomorphism ring is quasi-hereditary. As a conclusion, any artin algebra has a finite representation dimension.

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Additional Information

**Osamu Iyama**

Affiliation:
Department of Mathematics, Kyoto University, Kyoto, 606-8502, Japan

Address at time of publication:
Department of Mathematics, Himeji Institute of Technology, Himeji, 671-2201, Japan

Email:
iyama@kusm.kyoto-u.ac.jp, iyama@sci.himeji-tech.ac.jp

DOI:
https://doi.org/10.1090/S0002-9939-02-06616-9

Received by editor(s):
August 6, 2001

Received by editor(s) in revised form:
October 29, 2001

Published electronically:
July 17, 2002

Communicated by:
Martin Lorenz

Article copyright:
© Copyright 2002
American Mathematical Society