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Constructing lattice-ordered fields and division rings

Published online by Cambridge University Press:  17 April 2009

R.H. Redfield
R.H. Redfield
Affiliation:
Department of Mathematics and Computer ScienceHamilton CollegeClinton NY13323United States of America
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Abstract

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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

References

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