Directed partial orders on complex numbers and quaternions over non-Archimedean linearly ordered fields

DOI10.1007/S11083-016-9387-YzbMath1404.06014OpenAlexW2316399938MaRDI QIDQ523144

Jingjing Ma, Liusan Wu, Yue-Hui Zhang

Publication date: 20 April 2017

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-016-9387-y

zbMATH Keywords

directed partial orderadmissible semigroupdirected partially ordered algebralattice ordernon-Archimedean linear ordered field

Mathematics Subject Classification ID

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

Related Items (5)

Directed partial orders over non-Archimedean \(o\)-fields ⋮ Directed partial orders on complex numbers and quaternions. II ⋮ Some questions on partially ordered rings – a survey ⋮ Directed partial orders on \(F(i)\) with \(1 > 0\) ⋮ Directed partial orders on the field of generalized complex numbers with \(1\not >0\)

Cites Work

• Non-Archimedean directed fields \(K(i)\) with o-subfield \(K\) and \(i^2=-1\).
• On the existence of directed rings and algebras with negative squares
• Unnamed Item

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