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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Extension of orderings on $*$-fields


Author: Thomas C. Craven
Journal: Proc. Amer. Math. Soc. 124 (1996), 397-405
MSC (1991): Primary 12E15, 12J15; Secondary 16K40
MathSciNet review: 1301492
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Abstract: An analysis is made of the ways in which a total ordering of the set of symmetric elements of a skew field with involution can be extended to an ordering of a larger set of elements. This is done for several different types of orderings found in the literature.


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Additional Information

Thomas C. Craven
Affiliation: Department of Mathematics, University of Hawaii at Manoa, Honolulu, Hawaii 96822-2273
Email: tom@math.hawaii.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03067-5
PII: S 0002-9939(96)03067-5
Keywords: Baer ordering, semiordering, $*$-ordering, valuation
Received by editor(s): July 1, 1993
Received by editor(s) in revised form: September 7, 1994
Communicated by: Lance W. Small
Article copyright: © Copyright 1996 American Mathematical Society