Hypervaluations on hyperfields and ordered canonical hypergroups
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 a hypervaluation onto an ordered abelian group (which induces the same valuation hyperring) and an order preserving homo...
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| Format: | Artikel |
| Sprache: | eng |
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| Zusammenfassung: | 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 a hypervaluation onto an ordered abelian group
(which induces the same valuation hyperring) and an order preserving
homomorphism of hypergroups. |
|---|---|
| DOI: | 10.48550/arxiv.2009.08954 |