Geodesic
The structure of hereditary rings
Sbornik. Mathematics, Tome 41 (1982) no. 1, pp. 139-148

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It is proved that hereditary rings are isomorphic to rings of triangular matrices with prime blocks along the diagonal. A criterion for triangular rings to be hereditary is given, and when a certain condition (“splitting”) holds it is established that hereditary rings are tensor algebras of special bimodules. Bibliography: 14 titles. 
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Yu. A. Drozd. The structure of hereditary rings. Sbornik. Mathematics, Tome 41 (1982) no. 1, pp. 139-148. http://geodesic.mathdoc.fr/item/SM_1982_41_1_a8/