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Value Groups and Distributivity

Published online by Cambridge University Press:  20 November 2018

H. H. Brungs  and
J. Gräter
H. H. Brungs
Affiliation:
Department of Mathematics, University of Alberta, Edmonton, AlbertaT6G 2G1
J. Gräter
Affiliation:
Institut für Analysis, Abt. für Topologie u. Grundlagen der Analysis, Technische Universität, Pockelsstrasse 14, D-3300 Braunschweig, Germany
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Let F be a skew field with a valuation (also called total) subring B, i.e. x in F\ B implies x-1 in B. Such rings are useful not only in the investigation and construction of division algebras (see for example [5],[6],[12]) but also in geometry ([15]).

Associated with B is an invariant subring R of F and a value group G. We investigate the relationship between properties like the distributivity of R and properties like being lattice ordered of G.

Keywords

16A1416A10061512F10
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 43 , Issue 6 , 01 December 1991 , pp. 1150 - 1160
Copyright
Copyright © Canadian Mathematical Society 1991

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