Quasitilted extensions of algebras I
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- by Flávio Ulhoa Coelho, Maria Izabel R. Martins and José Antonio de la Peña PDF
- Proc. Amer. Math. Soc. 129 (2001), 1289-1297 Request permission
Abstract:
Let $A$ be a connected finite dimensional $k$-algebra, and let $M$ be a nonzero decomposable $A$-module such that the one-point extension $A[M]$ is quasitilted. We show here that every nonzero indecomposable direct summand of $M$ is directing and $A$ is a tilted algebra.References
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Additional Information
- Flávio Ulhoa Coelho
- Affiliation: Departamento de Matemática-IME, Universidade de São Paulo, CP 66281, São Paulo, SP, 05315-970, Brazil
- Email: fucoelho@ime.usp.br
- Maria Izabel R. Martins
- Affiliation: Departamento de Matemática-IME, Universidade de São Paulo, CP 66281, São Paulo, SP, 05315-970, Brazil
- Email: bel@ime.usp.br
- José Antonio de la Peña
- Affiliation: Instituto de Matemáticas, UNAM, Mexico 04510 D.F., Mexico
- Email: jap@matem.unam.mx
- Received by editor(s): October 9, 1998
- Received by editor(s) in revised form: August 11, 1999
- Published electronically: October 24, 2000
- Communicated by: Ken Goodearl
- © Copyright 2000 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 129 (2001), 1289-1297
- MSC (2000): Primary 16G70, 16G20, 16E10
- DOI: https://doi.org/10.1090/S0002-9939-00-05667-7
- MathSciNet review: 1712929