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Constructing lattice-ordered fields and division rings
Published online by Cambridge University Press: 17 April 2009
Abstract
Neumann's totally ordered power series fields and division rings may be tipped over to form archimedean lattice-ordered fields and division rings. This process is described and then generalised to produce non-archimedean lattice-ordered fields and division rings in which 1 > 0 and, as well, ones in which 1 ≯ 0.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 40 , Issue 3 , December 1989 , pp. 365 - 369
- Copyright
- Copyright © Australian Mathematical Society 1989
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