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On the computation of Kähler differentials and characterizations of Galois extensions with independent defect
Steven Dale Cutkosky, Franz-Viktor Kuhlmann, Anna Rzepka
For important cases of algebraic extensions of valued fields, we develop presentations of the associated Kähler differentials of the extensions of their valuation rings. We compute…
Defect extensions and a characterization of tame fields
Anna Rzepka, Piotr Szewczyk
We study the relation between two important classes of valued fields: tame fields and defectless fields. We show that in the case of valued fields of equal characteristic or rank o…
The valuation theory of deeply ramified fields and its connection with defect extensions
Franz-Viktor Kuhlmann, Anna Rzepka
We study in detail the valuation theory of deeply ramified fields and introduce and investigate several other related classes of valued fields. Further, a classification of defect…
On valuation independence and defectless extensions of valued fields
Anna Blaszczok, Pablo Cubides Kovacsics, Franz-Viktor Kuhlmann
In this article we further develop the theory of valuation independence and study its relation with classical notions in valuation theory such as immediate and defectless extension…