On Auslander–Reiten components for quasitilted algebras

• Autorzy: Flávio U. Coelho , Andrzej Skowroński
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 16G70: Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers
• 18G20: Homological dimension
• 16G10: Representations of Artinian rings

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 1996
• Tom: 149
• Numer: 1
• Strony: 67-82

Daty

wydano

1996

otrzymano

1995-02-27

poprawiono

1995-08-30

Twórcy

autor

Flávio U. Coelho

• Department of Mathematics - IME, University of São Paulo, CP 20570, Cep 01452-990 Brasil

autor

Andrzej Skowroński

• Faculty of Mathematics and Informatics, Nicholas Copernicus University, Chopina 12/18, 87-100 Toruń, Poland

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