Geodesic
Infinite rank representations of orders in nonsemisimple algebras, and module categories
Fundamentalʹnaâ i prikladnaâ matematika, Tome 11 (2005) no. 3, pp. 173-187

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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. 
@article{FPM_2005_11_3_a11,
     author = {W. Rump},
     title = {Infinite rank representations of orders in nonsemisimple algebras, and module categories},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {173--187},
     publisher = {mathdoc},
     volume = {11},
     number = {3},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2005_11_3_a11/}
}
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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/