The vanishing of self-extensions over n-symmetric algebras of quasitilted type

Maciej Karpicz, and Marju Purin. "The vanishing of self-extensions over n-symmetric algebras of quasitilted type." Colloquium Mathematicae 136.1 (2014): 99-108. <http://eudml.org/doc/283660>.

@article{MaciejKarpicz2014,
abstract = {A ring Λ satisfies the Generalized Auslander-Reiten Condition ( ) if for each Λ-module M with $Ext^\{i\}(M,M⊕ Λ) = 0$ for all i > n the projective dimension of M is at most n. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type.},
author = {Maciej Karpicz, Marju Purin},
journal = {Colloquium Mathematicae},
keywords = {self-injective algebras; symmetric algebras; quasitilted algebras; self-extensions; generalized Auslander-Reiten condition; Auslander-Reiten quivers; projective dimension},
language = {eng},
number = {1},
pages = {99-108},
title = {The vanishing of self-extensions over n-symmetric algebras of quasitilted type},
url = {http://eudml.org/doc/283660},
volume = {136},
year = {2014},
}

TY - JOUR
AU - Maciej Karpicz
AU - Marju Purin
TI - The vanishing of self-extensions over n-symmetric algebras of quasitilted type
JO - Colloquium Mathematicae
PY - 2014
VL - 136
IS - 1
SP - 99
EP - 108
AB - A ring Λ satisfies the Generalized Auslander-Reiten Condition ( ) if for each Λ-module M with $Ext^{i}(M,M⊕ Λ) = 0$ for all i > n the projective dimension of M is at most n. We prove that this condition is satisfied by all n-symmetric algebras of quasitilted type.
LA - eng
KW - self-injective algebras; symmetric algebras; quasitilted algebras; self-extensions; generalized Auslander-Reiten condition; Auslander-Reiten quivers; projective dimension
UR - http://eudml.org/doc/283660
ER -