Geodesic
Left sections and the left part of an artin algebra
Ibrahim Assem1
1 Département de mathématiques Faculté des sciences Université de Sherbrooke Sherbrooke, Québec, J1K 2R1, Canada
Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 273-300.

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

We define a notion of left section in an Auslander–Reiten component, by weakening one of the axioms for sections. We derive a generalisation of the Liu–Skowroński criterion for tilted algebras, then apply our results to describe the Auslander–Reiten components lying in the left part of an artin algebra.
DOI : 10.4064/cm116-2-10
Keywords: define notion section auslander reiten component weakening axioms sections derive generalisation liu skowro ski criterion tilted algebras apply results describe auslander reiten components lying part artin algebra

Ibrahim Assem 1

1 Département de mathématiques Faculté des sciences Université de Sherbrooke Sherbrooke, Québec, J1K 2R1, Canada 
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Ibrahim Assem. Left sections and the left part of an artin algebra. Colloquium Mathematicum, Tome 116 (2009) no. 2, pp. 273-300. doi : 10.4064/cm116-2-10. http://geodesic.mathdoc.fr/articles/10.4064/cm116-2-10/

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