Geodesic
Full embeddings of almost split sequences over split-by-nilpotent extensions
Colloquium Mathematicum, Tome 81 (1999) no. 1, pp. 21-31.

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

Let R be a split extension of an artin algebra A by a nilpotent bimodule $_A Q_A$, and let M be an indecomposable non-projective A-module. We show that the almost split sequences ending with M in mod A and mod R coincide if and only if $Hom_A (Q, τ_A M)$ = 0 and $M ⊗ _A Q = 0$.
DOI : 10.4064/cm-81-1-21-31
Keywords: Auslan-der-Reiten translate, split-by-nilpotent extension, almost split sequence

Ibrahim Assem 1 ; Dan Zacharia 1

1 
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Ibrahim Assem; Dan Zacharia. Full embeddings of almost split sequences over split-by-nilpotent extensions. Colloquium Mathematicum, Tome 81 (1999) no. 1, pp. 21-31. doi : 10.4064/cm-81-1-21-31. http://geodesic.mathdoc.fr/articles/10.4064/cm-81-1-21-31/

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