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math.LO2025
A note on valued fields with finite group actions
Piotr Błaszkiewicz, Jakub Gogolok
We consider valued fields equipped with an action of a given finite group by automorphisms. We show that the theory of such structures admits a model companion which is axiomatized…
math.LO2024
The class of Krasner hyperfields is not elementary
Piotr Błaszkiewicz, Piotr Kowalski
We show that the class of Krasner hyperfields is not elementary. To show this, we determine the rational rank of quotients of multiplicative groups in field extensions. Our argumen…