2 papers
math.AC2025
Arithmetic of cuts in ordered abelian groups and of ideals over valuation rings
Franz-Viktor Kuhlmann, Katarzyna Kuhlmann
We investigate existence, uniqueness and maximality of solutions for equations and inequalities where and are final segments of ord…
math.RA2025
Algorithmic Construction of Real Hyperfields from Minimal Axioms
Dawid E. KÄdzierski, Katarzyna Kuhlmann, Hanna StojaÅowska
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…