Hypervaluations on hyperfields and ordered canonical hypergroups

2020/09/03 by Linzi, Alessandro, Stojałowska, Hanna
#FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2009.08954

Abstract

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.

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