Geodesic
Torsion-free modules over Dedekind rings
Matematičeskie zametki, Tome 16 (1974) no. 3, pp. 387-394 Cet article a éte moissonné depuis la source Math-Net.Ru

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We obtain necessary and sufficient conditions in order that an arbitrary pure monoendomorphism of a module decomposed into a direct sum of rank 1 torsion-free modules over a Dedekind ring be an automorphism. 
@article{MZM_1974_16_3_a4,
     author = {S. K. Rososhek},
     title = {Torsion-free modules over {Dedekind} rings},
     journal = {Matemati\v{c}eskie zametki},
     pages = {387--394},
     year = {1974},
     volume = {16},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1974_16_3_a4/}
}
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S. K. Rososhek. Torsion-free modules over Dedekind rings. Matematičeskie zametki, Tome 16 (1974) no. 3, pp. 387-394. http://geodesic.mathdoc.fr/item/MZM_1974_16_3_a4/