Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras

Zygmunt Pogorzały; Mirosława Sufranek

Colloquium Mathematicae (2004)

  • Volume: 99, Issue: 1, page 111-144
  • ISSN: 0010-1354

Abstract

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The class of n-fundamental algebras is introduced. It is a subclass of string algebras. For n-fundamental algebras we study the problem of when the Auslander-Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.

How to cite

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Zygmunt Pogorzały, and Mirosława Sufranek. "Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras." Colloquium Mathematicae 99.1 (2004): 111-144. <http://eudml.org/doc/285369>.

@article{ZygmuntPogorzały2004,
abstract = {The class of n-fundamental algebras is introduced. It is a subclass of string algebras. For n-fundamental algebras we study the problem of when the Auslander-Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.},
author = {Zygmunt Pogorzały, Mirosława Sufranek},
journal = {Colloquium Mathematicae},
keywords = {string algebras; Auslander-Reiten quivers; generalized standard components; biserial algebras},
language = {eng},
number = {1},
pages = {111-144},
title = {Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras},
url = {http://eudml.org/doc/285369},
volume = {99},
year = {2004},
}

TY - JOUR
AU - Zygmunt Pogorzały
AU - Mirosława Sufranek
TI - Starting and ending components of the Auslander-Reiten quivers of a class of special biserial algebras
JO - Colloquium Mathematicae
PY - 2004
VL - 99
IS - 1
SP - 111
EP - 144
AB - The class of n-fundamental algebras is introduced. It is a subclass of string algebras. For n-fundamental algebras we study the problem of when the Auslander-Reiten quiver contains, at the beginning or at the end, a component which is not generalized standard.
LA - eng
KW - string algebras; Auslander-Reiten quivers; generalized standard components; biserial algebras
UR - http://eudml.org/doc/285369
ER -

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