Infinite Towers of Galois Defect Extensions of Kaplansky Fields

• Autorzy: Anna Blaszczok
• Języki publikacji: EN

Abstrakty

EN

We give conditions for Kaplansky fields to admit infinite towers of Galois defect extensions of prime degree. As proofs of the presented facts are constructive, this provides examples of constructions of infinite towers of Galois defect extensions of prime degree. We also give a constructive proof of the fact that a henselian Kaplansky field cannot be defectless-by-finite. (original abstract)

Słowa kluczowe

EN

Mathematics; Algebra

PL

Matematyka; Algebra

• Czasopismo: Annales Mathematicae Silesianae
• Rocznik: 2018
• Tom: 32
• Strony: 65--78

Twórcy

autor

Anna Blaszczok

• University of Silesia, Poland

Bibliografia

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• Blaszczok A., Distances of elements in valued field extensions, submitted.
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Identyfikatory

DOI

10.1515/amsil-2017-0012