O artykule
Data publikacji: 24 sie 2018
Zakres stron: 65 - 78
Otrzymano: 01 kwi 2017
Przyjęty: 08 lis 2017
DOI: https://doi.org/10.1515/amsil-2017-0012
Słowa kluczowe
© 2018 Anna Blaszczok, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.
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.