Geodesic
Modules Over Hereditary Noetherian Prime Rings
Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 867-883

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

Quasi-injective and quasi-projective modules over hereditary noetherian prime rings ((hnp)-rings) were studied in [17]. In the present paper we give some applications of the results established in [17]. Kulikov, Kertesz, Prufer, Szele had made basic contributions to the problem of decomposability of abelian p-groups (Fuchs [4]). Kaplansky [9] studied analogous problems for modules over (commutative) Dedekind domains. Let R be an (hnp)-r'mg, which is not right primitive. Using the structure of an indecomposable infective torsion R-module, established in [17, Theorem 4], some of the basic concepts and results on the decomposability of a torsion abelian group are generalized in Section 2, to modules over R. 
Singh, Surjeet. Modules Over Hereditary Noetherian Prime Rings. Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 867-883. doi: 10.4153/CJM-1975-094-3
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