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Laura algebras and quasi-directed components

Marcelo LanzilottaDavid Smith — 2006

Colloquium Mathematicae

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 r a d A ( X , Y ) 0 . We draw as inference that a convex component is quasi-directed if and only if it is almost directed.

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