Orbit algebras and periodicity
Colloquium Mathematicae (2009)
- Volume: 114, Issue: 2, page 245-252
- ISSN: 0010-1354
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topPetter Andreas Bergh. "Orbit algebras and periodicity." Colloquium Mathematicae 114.2 (2009): 245-252. <http://eudml.org/doc/283516>.
@article{PetterAndreasBergh2009,
abstract = {Given an object in a category, we study its orbit algebra with respect to an endofunctor. We show that if the object is periodic, then its orbit algebra modulo nilpotence is a polynomial ring in one variable. This specializes to a result on Ext-algebras of periodic modules over Gorenstein algebras. We also obtain a criterion for an algebra to be of wild representation type.},
author = {Petter Andreas Bergh},
journal = {Colloquium Mathematicae},
keywords = {orbit algebras; periodicity; Auslander-Reiten translates; endofunctors; wild representation type},
language = {eng},
number = {2},
pages = {245-252},
title = {Orbit algebras and periodicity},
url = {http://eudml.org/doc/283516},
volume = {114},
year = {2009},
}
TY - JOUR
AU - Petter Andreas Bergh
TI - Orbit algebras and periodicity
JO - Colloquium Mathematicae
PY - 2009
VL - 114
IS - 2
SP - 245
EP - 252
AB - Given an object in a category, we study its orbit algebra with respect to an endofunctor. We show that if the object is periodic, then its orbit algebra modulo nilpotence is a polynomial ring in one variable. This specializes to a result on Ext-algebras of periodic modules over Gorenstein algebras. We also obtain a criterion for an algebra to be of wild representation type.
LA - eng
KW - orbit algebras; periodicity; Auslander-Reiten translates; endofunctors; wild representation type
UR - http://eudml.org/doc/283516
ER -
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