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Splitting fields for torsion-free modules over discrete valuation rings. I. (English) Zbl 0366.13002


MSC:

13B99 Commutative ring extensions and related topics
12J20 General valuation theory for fields
13B05 Galois theory and commutative ring extensions
13F99 Arithmetic rings and other special commutative rings
Full Text: DOI

References:

[1] Arnold, D. M., A duality for torsion free modules of finite rank over a discrete valuation ring, (Proc. Lond. Math. Soc., 24 (1972)), 204-216, (3) · Zbl 0237.13016
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[11] Murley, C., The classification of certain classes of torsion free abelian groups, Pacific J. Math., 40, 647-665 (1972) · Zbl 0261.20045
[12] Nagata, N., Local Rings (1962), Wiley: Wiley New York · Zbl 0123.03402
[13] Raynaud, M., Anneaux Locaux Henseliens, (Lecture Notes in Mathematics, 169 (1970), Springer-Verlag: Springer-Verlag Berlin/New York) · Zbl 0203.05102
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