Extension of orderings on *-fields-Reference-Cited by-同舟云学术

Extension of orderings on *-fields

Published:1996 Issue:2 Volume:124 Page:397-405
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Craven Thomas

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1996-124-02/S0002-9939-96-03067-5/S0002-9939-96-03067-5.pdf

Reference15 articles.

1. 𝑐-orderable division rings with involution;Chacron, M.;J. Algebra,1982

2. 𝐶-valuations and normal 𝐶-orderings;Chacron, M.;Canad. J. Math.,1989

3. A symmetric version of the notion of 𝑐-ordering;Chacron, M.;Comm. Algebra,1990

4. Orderings and valuations on *-fields;Craven, Thomas C.;Rocky Mountain J. Math.,1989

5. Approximation properties for orderings on *-fields;Craven, Thomas C.;Trans. Amer. Math. Soc.,1988

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