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arXiv · 2009.08954

Hypervaluations on hyperfields and ordered canonical hypergroups

Alessandro Linzi·Hanna Stojałowska
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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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Alessandro Linzi, Hanna Stojałowska. 2020-09-03. Hypervaluations on hyperfields and ordered canonical hypergroups. https://arxiv.org/abs/2009.08954

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