Geodesic
On strong indecomposability of the Dedekind ring localization
Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 2, pp. 43-49.

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In this work, we study the question of sufficient conditions for strong indecomposability of Dedekind rings as finite rank modules over their Dedekind subrings. This question was considered earlier in the special case of rings of algebraic integers. Necessary and sufficient conditions are given for Galois extensions. The question of $k$-indecomposability is also considered. 
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A. V. Grishin. On strong indecomposability of the Dedekind ring localization. Fundamentalʹnaâ i prikladnaâ matematika, Tome 19 (2014) no. 2, pp. 43-49. http://geodesic.mathdoc.fr/item/FPM_2014_19_2_a3/

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