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Extension of orderings on  -fields
Author(s):
Thomas
C.
Craven
Journal:
Proc. Amer. Math. Soc.
124
(1996),
397-405.
MSC (1991):
Primary 12E15, 12J15;
Secondary 16K40
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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.
References:
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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:
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
Copyright of article:
Copyright
1996,
American Mathematical Society
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