Geodesic
Almost Split Sequences whose Middle Term has at most Two Indecomposable Summands
Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 942-960

Voir la notice de l'article provenant de la source Cambridge University Press

Let Λ be an artin algebra, and denote by mod Λ the category of finitely generated Λ-modules. All modules we consider are finitely generated.We recall from [6] that a nonsplit exact sequence in mod A is said to be almost split if A and C are indecomposable, and given a map h: X → C which is not an isomorphism and with X indecomposable, there is some t: X → B such that gt = h.Almost split sequences have turned out to be useful in the study of representation theory of artin algebras. Given a nonprojective indecomposable Λ-module C (or an indecomposable noninjective Λ-module A), we know thatthere exists a unique almost split sequence [6, Proposition 4.3], [5, Section 3]. 
Auslander, M.; Bautista, R.; Platzeck, M. I.; Reiten, I.; Smalø, S. O. Almost Split Sequences whose Middle Term has at most Two Indecomposable Summands. Canadian journal of mathematics, Tome 31 (1979) no. 5, pp. 942-960. doi: 10.4153/CJM-1979-089-5
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