2 citations · 2 across the 3 of their papers we have counts for
3 papers
Algorithmic Construction of Real Hyperfields from Minimal Axioms
Dawid E. Kędzierski, Katarzyna Kuhlmann, Hanna Stojałowska
We study real hyperfields, focusing in particular on those that are finite with cyclic positive cones. All real hyperfields have characteristic zero, although they can still be cla…
Orderings and valuations in hyperfields
Katarzyna Kuhlmann, Alessandro Linzi, Hanna Stojałowska
We introduce and study in detail the notion of compatibility between valuations and orderings in real hyperfields. We investigate their relation with valuations and orderings induc…
Hypervaluations on hyperfields and ordered canonical hypergroups
Alessandro Linzi, Hanna Stojałowska
We study the concept of hypervaluations on hyperfields. In particular, we show that any hypervaluation from a hyperfield onto an ordered canonical hypergroup is the composition of…