Fields with directed partial orders

DOI10.1016/j.jalgebra.2011.04.016zbMath1269.12005OpenAlexW1998918673MaRDI QIDQ657963

Niels Schwartz, Yichuan Yang

Publication date: 11 January 2012

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

Full work available at URL: https://doi.org/10.1016/j.jalgebra.2011.04.016

Mathematics Subject Classification ID

Ordered rings, algebras, modules (06F25) Ordered fields (12J15)

Related Items (8)

Directed partial orders over non-Archimedean \(o\)-fields ⋮ Some questions on partially ordered rings – a survey ⋮ Non-Archimedean directed fields \(K(i)\) with o-subfield \(K\) and \(i^2=-1\). ⋮ Note on classification of two-dimensional associative lattice-ordered real algebras ⋮ Directed partial orders on unital algebras ⋮ Directed partial orders on real quaternions ⋮ Hereditary ℓ-ideals of matrix rings over ℓ-rings ⋮ Directed partial orders on the field of generalized complex numbers with \(1\not >0\)

Cites Work

• Lattice-ordered fields
• Groupes et anneaux reticules
• On the existence of directed rings and algebras with negative squares
• On Elements with Negative Squares
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