Extension of orderings on *-fields

Craven, Thomas

doi:10.1090/S0002-9939-96-03067-5

Extension of orderings on $*$-fields
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by Thomas C. Craven

Proc. Amer. Math. Soc. 124 (1996), 397-405

DOI: https://doi.org/10.1090/S0002-9939-96-03067-5

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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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