Geodesic
Indecomposable second-order matrix rings with a finite number of bass representations
Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 601-604 
Yu. A. Drozd. Indecomposable second-order matrix rings with a finite number of bass representations. Matematičeskie zametki, Tome 12 (1972) no. 5, pp. 601-604. http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a13/
@article{MZM_1972_12_5_a13,
     author = {Yu. A. Drozd},
     title = {Indecomposable second-order matrix rings with a finite number of bass representations},
     journal = {Matemati\v{c}eskie zametki},
     pages = {601--604},
     year = {1972},
     volume = {12},
     number = {5},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1972_12_5_a13/}
}
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We prove the theorem formulated in the title and its analog for orders in certain fields (in particular, in quaternion algebras).