1Centro de Matemática (CMAT), Iguá 4225 Universidad de la República CP 11400, Montevideo, Uruguay 2Département 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
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.
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
Affiliations des auteurs :
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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author = {Marcelo Lanzilotta and David Smith},
title = {Laura algebras and quasi-directed components},
journal = {Colloquium Mathematicum},
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doi = {10.4064/cm105-2-2},
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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
