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Title

On Auslander–Reiten components for quasitilted algebras

Authors 1, 2

Affiliations

  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

Abstract

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 ΓA of a quasitilted algebra A.

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Additional information

http://matwbn.icm.edu.pl/ksiazki/fm/fm149/fm14915.pdf

Fundamenta Mathematicae
1996/149/1
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Pages:
67-82
Main language of publication
English
Received
1995-02-27
Accepted
1995-08-30
Published
1996
Exact and natural sciences