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The canonical Hensel-Shafarevich basis in complete discrete valuation fields. (English. Russian original) Zbl 1300.12009

J. Math. Sci., New York 188, No. 5, 570-581 (2013); translation from Zap. Nauchn. Semin. POMI 394, 174-193 (2011).
Summary: Starting from Hensel’s generating set of principal units, we construct a basis of the module of principal units in the multiplicative group of a complete discrete valuation field with a residue field of prime characteristics. The uniqueness of the above basis is proved, as well as the uniqueness of the canonical Shafarevich basis.

MSC:

12J20 General valuation theory for fields
11S85 Other nonanalytic theory
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References:

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