Orderings and signatures of higher level on multirings and hyperfields

DOI10.1017/is012004021jkt189zbMath1270.12003OpenAlexW2134885283MaRDI QIDQ4911308

Paweł Gładki, Murray A. Marshall

Publication date: 14 March 2013

Published in: Journal of K-theory (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/6ebb0d15e07e2afd74ae2b71a9facfd7a56baf71

zbMATH Keywords

hypergroupshyperringssignatures of higher levelmultiringshyperfields, orderings of higher level

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Ordered fields (12J15) Forms over real fields (11E10)

Related Items (7)

Hyperstructures of affine algebraic group schemes ⋮ Algebraic geometry over hyperrings ⋮ Geometry of hyperfields ⋮ Witt equivalence of fields: A survey with a special emphasis on applications of hyperfields ⋮ Unnamed Item ⋮ Orderings and valuations in hyperfields ⋮ Fans in the theory of real semigroups

Cites Work

• Unnamed Item
• On rings admitting orderings and 2-primary chains of orderings of higher level
• Reduced forms and reduced Witt rings of higher level
• Real reduced multirings and multifields
• A class of hyperrings and hyperfields
• Characterizing reduced Witt rings of higher level
• Signatures of higher level on rings with many units
• The intersection theorem for orderings of higher level in rings
• Algebraic \(K\)-theory of special groups
• Finite Spaces of Signatures
• Classification of Finite Spaces of Orderings

This page was built for publication: Orderings and signatures of higher level on multirings and hyperfields