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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Quasitilted algebras admit a preprojective component
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by Flavio U. Coelho and Dieter Happel PDF
Proc. Amer. Math. Soc. 125 (1997), 1283-1291 Request permission

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
References
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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
  • 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
  • © Copyright 1997 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 125 (1997), 1283-1291
  • MSC (1991): Primary 16G10, 16E10
  • DOI: https://doi.org/10.1090/S0002-9939-97-03697-6
  • MathSciNet review: 1363416