On Auslander–Reiten components for quasitilted algebras

Flávio Coelho; Andrzej Skowroński

Fundamenta Mathematicae (1996)

  • Volume: 149, Issue: 1, page 67-82
  • ISSN: 0016-2736

Abstract

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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.

How to cite

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Coelho, Flávio, and Skowroński, Andrzej. "On Auslander–Reiten components for quasitilted algebras." Fundamenta Mathematicae 149.1 (1996): 67-82. <http://eudml.org/doc/212109>.

@article{Coelho1996,
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 $Γ_A$ of a quasitilted algebra A.},
author = {Coelho, Flávio, Skowroński, Andrzej},
journal = {Fundamenta Mathematicae},
keywords = {quasitilted algebras; tilting pairs; tilted algebras; tilting processes; module categories; Auslander-Reiten quivers; AR-components},
language = {eng},
number = {1},
pages = {67-82},
title = {On Auslander–Reiten components for quasitilted algebras},
url = {http://eudml.org/doc/212109},
volume = {149},
year = {1996},
}

TY - JOUR
AU - Coelho, Flávio
AU - Skowroński, Andrzej
TI - On Auslander–Reiten components for quasitilted algebras
JO - Fundamenta Mathematicae
PY - 1996
VL - 149
IS - 1
SP - 67
EP - 82
AB - 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.
LA - eng
KW - quasitilted algebras; tilting pairs; tilted algebras; tilting processes; module categories; Auslander-Reiten quivers; AR-components
UR - http://eudml.org/doc/212109
ER -

References

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