Generalized canonical algebras and standard stable tubes

Andrzej Skowroński

Colloquium Mathematicae (2001)

  • Volume: 90, Issue: 1, page 77-93
  • ISSN: 0010-1354

Abstract

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We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.

How to cite

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Andrzej Skowroński. "Generalized canonical algebras and standard stable tubes." Colloquium Mathematicae 90.1 (2001): 77-93. <http://eudml.org/doc/283781>.

@article{AndrzejSkowroński2001,
abstract = {We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.},
author = {Andrzej Skowroński},
journal = {Colloquium Mathematicae},
keywords = {stable tubes; global dimension; Auslander-Reiten quivers},
language = {eng},
number = {1},
pages = {77-93},
title = {Generalized canonical algebras and standard stable tubes},
url = {http://eudml.org/doc/283781},
volume = {90},
year = {2001},
}

TY - JOUR
AU - Andrzej Skowroński
TI - Generalized canonical algebras and standard stable tubes
JO - Colloquium Mathematicae
PY - 2001
VL - 90
IS - 1
SP - 77
EP - 93
AB - We introduce a new wide class of finite-dimensional algebras which admit families of standard stable tubes (in the sense of Ringel [17]). In particular, we prove that there are many algebras of arbitrary nonzero (finite or infinite) global dimension whose Auslander-Reiten quivers admit faithful standard stable tubes.
LA - eng
KW - stable tubes; global dimension; Auslander-Reiten quivers
UR - http://eudml.org/doc/283781
ER -

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