Geodesic
Auslander-Reiten Sequences for "Nice" Torsion Theories of Artinian Algebras
Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 61-65

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Let t be a field and a finite dimensional t-algebra. Auslander-Reiten sequences [AR] play a fundamental rôle in the representation theory of ; in particular, they can be used to construct new indecomposable modules from known ones. For the latter reason I think it worthwile to point out certain torsion theories on the category of -modules, such that the category of -torsionfree modules has Auslander-Reiten sequences; thus giving another construction of indecomposable modules. 
Roggenkamp, K. W. Auslander-Reiten Sequences for "Nice" Torsion Theories of Artinian Algebras. Canadian mathematical bulletin, Tome 23 (1980) no. 1, pp. 61-65. doi: 10.4153/CMB-1980-008-7
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