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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

Henselian valued fields with prescribed value group and residue field


Author: Linda Hill
Journal: Trans. Amer. Math. Soc. 195 (1974), 213-222
MSC: Primary 12J10; Secondary 12B10
MathSciNet review: 0344234
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Abstract: A class of fields supplementary to the inertia field of a given henselian valued field is used to construct extensions of that field having prescribed value group and residue field. The extensions so-constructed are characterized, and their number investigated.


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DOI: http://dx.doi.org/10.1090/S0002-9947-1974-0344234-2
Keywords: Krull valuation, henselian valued field, decomposition field, inertia field, ramification field
Article copyright: © Copyright 1974 American Mathematical Society