Orderings and valuations in hyperfields

Autor: Katarzyna Kuhlmann, Alessandro Linzi, Hanna Stojałowska
Rok vydání: 2022
Předmět:
Zdroj: Journal of Algebra. 611:399-421
ISSN: 0021-8693
DOI: 10.1016/j.jalgebra.2022.08.006
Popis: 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 induced on factor and residue hyperfields. Much of the theory from real fields can be generalized to real hyperfields; we point out facts that cannot. We generalize the Baer-Krull theorem to real hyperfields.
Databáze: OpenAIRE