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

Adam Skowyrski

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

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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.

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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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