Laura algebras and quasi-directed components
Marcelo Lanzilotta ; David Smith
Colloquium Mathematicae, Tome 106 (2006), p. 179-196 / Harvested from The Polish Digital Mathematics Library
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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 radA∞(X,Y)≠0. We draw as inference that a convex component is quasi-directed if and only if it is almost directed.

Publié le : 2006-01-01
EUDML-ID : urn:eudml:doc:284174 
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Marcelo Lanzilotta; David Smith. Laura algebras and quasi-directed components. Colloquium Mathematicae, Tome 106 (2006) pp. 179-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm105-2-2/