Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one

Adam Skowyrski

Colloquium Mathematicae (2013)

  • Volume: 132, Issue: 2, page 239-270
  • ISSN: 0010-1354

Abstract

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We describe the structure of artin algebras for which all cycles of indecomposable modules are finite and almost all indecomposable modules have projective or injective dimension at most one.

How to cite

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Adam Skowyrski. "Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one." Colloquium Mathematicae 132.2 (2013): 239-270. <http://eudml.org/doc/283482>.

@article{AdamSkowyrski2013,
abstract = {We describe the structure of artin algebras for which all cycles of indecomposable modules are finite and almost all indecomposable modules have projective or injective dimension at most one.},
author = {Adam Skowyrski},
journal = {Colloquium Mathematicae},
keywords = {Artin algebras; indecomposable modules; cycle-finite algebras; tame quasitilted algebras; generalized double tilted algebras; Auslander-Reiten quivers; projective dimension; injective dimension},
language = {eng},
number = {2},
pages = {239-270},
title = {Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one},
url = {http://eudml.org/doc/283482},
volume = {132},
year = {2013},
}

TY - JOUR
AU - Adam Skowyrski
TI - Cycle-finite algebras with almost all indecomposable modules of projective or injective dimension at most one
JO - Colloquium Mathematicae
PY - 2013
VL - 132
IS - 2
SP - 239
EP - 270
AB - We describe the structure of artin algebras for which all cycles of indecomposable modules are finite and almost all indecomposable modules have projective or injective dimension at most one.
LA - eng
KW - Artin algebras; indecomposable modules; cycle-finite algebras; tame quasitilted algebras; generalized double tilted algebras; Auslander-Reiten quivers; projective dimension; injective dimension
UR - http://eudml.org/doc/283482
ER -

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