Auslander generators of iterated tilted algebras
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- by Flávio Ulhoa Coelho, Dieter Happel and Luise Unger PDF
- Proc. Amer. Math. Soc. 138 (2010), 1587-1593 Request permission
Abstract:
Let $\Lambda$ be an iterated tilted algebra. We will construct an Auslander generator $M$ in order to show that the representation dimension of $\Lambda$ is three in case $\Lambda$ is representation infinite.References
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Additional Information
- Flávio Ulhoa Coelho
- Affiliation: Departamento de Matemática - IME, Universidade de São Paulo, CP 66281 São Paulo, Brazil
- Email: fucoelho@ime.usp.br
- Dieter Happel
- Affiliation: Fakultät für Mathematik, Technische Universität Chemnitz, D-09107 Chemnitz, Germany
- Email: happel@mathematik.tu-chemnitz.de
- Luise Unger
- Affiliation: Fakultät für Mathematik und Informatik, Fernuniversität Hagen, D-58084 Hagen, Germany
- MR Author ID: 176020
- Email: luise.unger@fernuni-hagen.de
- Received by editor(s): April 7, 2009
- Received by editor(s) in revised form: July 24, 2009
- Published electronically: January 6, 2010
- Additional Notes: The results presented here were obtained while the second and third authors were visiting IME-USP. They thank their coauthor for his kind hospitality during their pleasant stay in São Paulo. The project was made possible by a grant from FAPESP, Brazil. The first author also acknowledges a grant from $\textrm {CNP}_q$
- Communicated by: Birge Huisgen-Zimmermann
- © Copyright 2010 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 138 (2010), 1587-1593
- MSC (2000): Primary 16E05, 16E10, 16G10
- DOI: https://doi.org/10.1090/S0002-9939-10-10201-9
- MathSciNet review: 2587443