Geodesic
Tilting modules and a theorem of Hoshino
Glasgow mathematical journal, Tome 35 (1993) no. 1, pp. 69-77

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

Let k be an algebraically closed field, and A a finite dimensional k-algebra, which we shall assume, without loss of generality, to be basic and connected. By module is meant throughout a finitely generated right A-module. Following Happel and Ringel [10], we shall say that a module Tλ is a tilting (respectively, cotilting) module if it satisfies the following three conditions:(1)(2)(3) the number of non-isomorphic indecomposable summands of T equals the rank of the Grothendieck group K0(A) of A. 
Assem, Ibrahim; Kerner, Otto. Tilting modules and a theorem of Hoshino. Glasgow mathematical journal, Tome 35 (1993) no. 1, pp. 69-77. doi: 10.1017/S0017089500009575
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