Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components

Piotr Malicki

Colloquium Mathematicae (2009)

  • Volume: 114, Issue: 2, page 253-276
  • ISSN: 0010-1354

Abstract

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We establish when the partial orders e x t and d e g coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander-Reiten quiver of a finite-dimensional algebra.

How to cite

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Piotr Malicki. "Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components." Colloquium Mathematicae 114.2 (2009): 253-276. <http://eudml.org/doc/284274>.

@article{PiotrMalicki2009,
abstract = {We establish when the partial orders $≤_\{ext\}$ and $≤_\{deg\}$ coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander-Reiten quiver of a finite-dimensional algebra.},
author = {Piotr Malicki},
journal = {Colloquium Mathematicae},
keywords = {Degenerations; Auslander-Retien quivers},
language = {eng},
number = {2},
pages = {253-276},
title = {Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components},
url = {http://eudml.org/doc/284274},
volume = {114},
year = {2009},
}

TY - JOUR
AU - Piotr Malicki
TI - Degenerations in the module varieties of almost cyclic coherent Auslander-Reiten components
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 2
SP - 253
EP - 276
AB - We establish when the partial orders $≤_{ext}$ and $≤_{deg}$ coincide for all modules of the same dimension from the additive category of a generalized standard almost cyclic coherent component of the Auslander-Reiten quiver of a finite-dimensional algebra.
LA - eng
KW - Degenerations; Auslander-Retien quivers
UR - http://eudml.org/doc/284274
ER -

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