Laura algebras and quasi-directed components

Marcelo Lanzilotta, and David Smith. "Laura algebras and quasi-directed components." Colloquium Mathematicae 105.2 (2006): 179-196. <http://eudml.org/doc/284174>.

@article{MarceloLanzilotta2006,
abstract = {Using a notion of distance between indecomposable modules we deduce new characterizations of laura algebras and quasi-directed Auslander-Reiten components. Afterwards, we investigate the infinite radical of Artin algebras and show that there exist infinitely many non-directing modules between two indecomposable modules X and Y if $rad_\{A\}^\{∞\}(X,Y) ≠ 0$. We draw as inference that a convex component is quasi-directed if and only if it is almost directed.},
author = {Marcelo Lanzilotta, David Smith},
journal = {Colloquium Mathematicae},
keywords = {laura algebras; quasi-directed Auslander-Reiten components; projectives; injectives; indecomposable modules; convex components; Artin algebras},
language = {eng},
number = {2},
pages = {179-196},
title = {Laura algebras and quasi-directed components},
url = {http://eudml.org/doc/284174},
volume = {105},
year = {2006},
}

TY - JOUR
AU - Marcelo Lanzilotta
AU - David Smith
TI - Laura algebras and quasi-directed components
JO - Colloquium Mathematicae
PY - 2006
VL - 105
IS - 2
SP - 179
EP - 196
AB - Using a notion of distance between indecomposable modules we deduce new characterizations of laura algebras and quasi-directed Auslander-Reiten components. Afterwards, we investigate the infinite radical of Artin algebras and show that there exist infinitely many non-directing modules between two indecomposable modules X and Y if $rad_{A}^{∞}(X,Y) ≠ 0$. We draw as inference that a convex component is quasi-directed if and only if it is almost directed.
LA - eng
KW - laura algebras; quasi-directed Auslander-Reiten components; projectives; injectives; indecomposable modules; convex components; Artin algebras
UR - http://eudml.org/doc/284174
ER -