Constructing lattice-ordered fields and division rings

DOI10.1017/S0004972700017391zbMath0683.12015OpenAlexW2132774528MaRDI QIDQ4732547

R. H. Redfield

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0004972700017391

zbMATH Keywords

skew fieldsnon-archimedean lattice ordered fields

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Non-Archimedean valued fields (12J25) Skew fields, division rings (12E15) Ordered fields (12J15) Division rings and semisimple Artin rings (16Kxx)

Related Items (5)

Internal characterizations of lattice-ordered power series fields ⋮ Cyclically valued rings and formal power series ⋮ Some examples of lattice-orders in real closed fields ⋮ Lattice-ordered fields as convolution algebras ⋮ Subfields of Lattice-Ordered Fields That Mimic Maximal Totally Ordered Subfields

Cites Work

• Unnamed Item
• A embedding theorem for lattice-ordered fields
• The Hahn Embedding Theorem for Abelian Lattice-Ordered Groups
• On Ordered Division Rings

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