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Orderings and valuations in hyperfields

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Publication:2079239
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DOI10.1016/j.jalgebra.2022.08.006OpenAlexW3168079708MaRDI QIDQ2079239

Katarzyna Kuhlmann, Hanna Stojałowska, Alessandro Linzi

Publication date: 29 September 2022

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.04978


zbMATH Keywords

orderingvaluationhyperfieldhyperring


Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Ordered fields (12J15) General valuation theory for fields (12J20)




Cites Work

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  • An equivalence between two approaches to limits of local fields
  • Real reduced multirings and multifields
  • A class of hyperrings and hyperfields
  • Algebraic geometry over hyperrings
  • Hyperfields, truncated DVRs, and valued fields
  • A Realization of Hyperrings
  • Orderings and signatures of higher level on multirings and hyperfields
  • Witt equivalence of function fields over global fields


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