Geodesic
Infinite rank representations of orders in nonsemisimple algebras, and module categories
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 173-187 
W. Rump. Infinite rank representations of orders in nonsemisimple algebras, and module categories. Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 173-187. http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a11/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Let $R$ be a Dedekind domain with quotient field $K$ and let $\Lambda$ be an $R$-order in a finite-dimensional $K$-algebra $A$ such that $A/\operatorname{Rad}A$ is separable. We show that if $A$ is not semisimple, then there exists a maximal $R$-order $\Delta$ in a skew-field such that the category $\Lambda\text{-}\mathbf{Lat}$ of $R$-projective $\Lambda$-modules admits a full module category $\Delta\text{-}\mathbf{Mod}$ as a subfactor.

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