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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Quasitilted algebras admit
a preprojective component


Authors: Flavio U. Coelho and Dieter Happel
Journal: Proc. Amer. Math. Soc. 125 (1997), 1283-1291
MSC (1991): Primary 16G10, 16E10
MathSciNet review: 1363416
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Abstract: Quasitilted algebras are generalizations of tilted algebras. As a main result we show here that the Auslander-Reiten quiver of such an algebra has a preprojective component


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Additional Information

Flavio U. Coelho
Affiliation: Instituto de Matemática, Universidade de São Paulo, Caixa Postal 66281, São Paulo, 05389-970, Brasil
Email: fucoelho@ime.usp.br

Dieter Happel
Affiliation: Fakultät für Mathematik, Technische Universität Chemnitz, Postfach 964, 09107 Chemnitz, Germany
Email: dieter.happel@mathematik.tu-chemnitz.de

DOI: http://dx.doi.org/10.1090/S0002-9939-97-03697-6
PII: S 0002-9939(97)03697-6
Keywords: Preprojective components, quasitilted algebras
Received by editor(s): March 31, 1995
Received by editor(s) in revised form: November 10, 1995
Additional Notes: This work was done when the first named author was visiting the Chemnitz University under the financial support of FAPESP and CNPq, Brazil. He would like to thank the second author for the kind hospitalitly during his stay. The authors also would like to thank J. A. de la Peña for pointing out some inaccuracies in an earlier version.
Communicated by: Ken Goodearl
Article copyright: © Copyright 1997 American Mathematical Society