Geodesic
Laura algebras and quasi-directed components
Marcelo Lanzilotta1 ; David Smith2
1 Centro de Matemática (CMAT), Iguá 4225 Universidad de la República CP 11400, Montevideo, Uruguay
2 Département de Mathématiques Université de Sherbrooke 2500, boul. de l'Université Sherbrooke, Québec, Canada, J1K 2R1
Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 179-196.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $\mathop{\rm rad}_{A}^{\infty}(X,Y)\neq 0$. We draw as inference that a convex component is quasi-directed if and only if it is almost directed.
DOI : 10.4064/cm105-2-2
Keywords: using notion distance between indecomposable modules deduce characterizations laura algebras quasi directed auslander reiten components afterwards investigate infinite radical artin algebras there exist infinitely many non directing modules between indecomposable modules mathop rad infty neq draw inference convex component quasi directed only almost directed

Marcelo Lanzilotta 1 ; David Smith 2

1 Centro de Matemática (CMAT), Iguá 4225 Universidad de la República CP 11400, Montevideo, Uruguay
2 Département de Mathématiques Université de Sherbrooke 2500, boul. de l'Université Sherbrooke, Québec, Canada, J1K 2R1 
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Marcelo Lanzilotta; David Smith. Laura algebras and quasi-directed components. Colloquium Mathematicum, Tome 105 (2006) no. 2, pp. 179-196. doi : 10.4064/cm105-2-2. http://geodesic.mathdoc.fr/articles/10.4064/cm105-2-2/

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