Please use this identifier to cite or link to this item: https://doi.org/10.1006/jabr.1994.1095
Title: Strong Approximation Property for Baer Orderings on *-Fields
Authors: Leung, K.H. 
Issue Date: 1-Apr-1994
Citation: Leung, K.H. (1994-04-01). Strong Approximation Property for Baer Orderings on *-Fields. Journal of Algebra 165 (1) : 1-22. ScholarBank@NUS Repository. https://doi.org/10.1006/jabr.1994.1095
Abstract: Let (D, *) be a *-field with [D: Z(D)] being finite. Our main objective is to show that the space of all Baer orderings (resp. weak *-orderings) of (D, *) satisfies the strong approximation property iff every Baer ordering of (D, *) is in fact a weak *-ordering. This shows that the notions of Baer orderings and weak *-orderings are respectively the "correct" analogues for semiorderings and orderings. We also intro-duce the concept of Baer formally real *-fields and Baer preorderings. We prove that a *-field admits a Baer ordering iff it is Baer formally real. In addition, some new results on weak *-orderings are also discussed. © 1994 Academic Press. All rights reserved.
Source Title: Journal of Algebra
URI: http://scholarbank.nus.edu.sg/handle/10635/104205
ISSN: 00218693
DOI: 10.1006/jabr.1994.1095
Appears in Collections:Staff Publications

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