A Lattice-Ordered Skew Field Is Totally Ordered If Squares Are Positive

DOI10.2307/27641895zbMath1135.16051arXivmath/0505365OpenAlexW2951956301MaRDI QIDQ5440575

Yi Chuan Yang

Publication date: 5 February 2008

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505365

zbMATH Keywords

lattice ordered groupslattice ordered ringslattice ordered division ringslattice ordered fields

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80) Ordered fields (12J15)

Related Items (4)

Non-Archimedean directed fields \(K(i)\) with o-subfield \(K\) and \(i^2=-1\). ⋮ An extension of a Y. C. Yang theorem ⋮ Note on classification of two-dimensional associative lattice-ordered real algebras ⋮ Hereditary ℓ-ideals of matrix rings over ℓ-rings

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