Geodesic
On Auslander–Reiten components for quasitilted algebras
Flávio U. Coelho1 ; Andrzej Skowroński2
1 Department of Mathematics - IME, University of São Paulo, CP 20570, Cep 01452-990 Brasil
2 Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland
Fundamenta Mathematicae, Tome 149 (1996) no. 1, pp. 67-82 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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An artin algebra A over a commutative artin ring R is called quasitilted if gl.dim A ≤ 2 and for each indecomposable finitely generated A-module M we have pd M ≤ 1 or id M ≤ 1. In [11] several characterizations of quasitilted algebras were proven. We investigate the structure and homological properties of connected components in the Auslander-Reiten quiver $Γ_A$ of a quasitilted algebra A.
DOI : 10.4064/fm-149-1-67-82

Flávio U. Coelho 1 ; Andrzej Skowroński 2

1 Department of Mathematics - IME, University of São Paulo, CP 20570, Cep 01452-990 Brasil
2 Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland 
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Flávio U. Coelho; Andrzej Skowroński. On Auslander–Reiten components for quasitilted algebras. Fundamenta Mathematicae, Tome 149 (1996) no. 1, pp. 67-82. doi: 10.4064/fm-149-1-67-82

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