Please use this identifier to cite or link to this item:
https://doi.org/10.1006/jabr.1994.1095
DC Field | Value | |
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dc.title | Strong Approximation Property for Baer Orderings on *-Fields | |
dc.contributor.author | Leung, K.H. | |
dc.date.accessioned | 2014-10-28T02:46:32Z | |
dc.date.available | 2014-10-28T02:46:32Z | |
dc.date.issued | 1994-04-01 | |
dc.identifier.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 | |
dc.identifier.issn | 00218693 | |
dc.identifier.uri | http://scholarbank.nus.edu.sg/handle/10635/104205 | |
dc.description.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. | |
dc.description.uri | http://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1006/jabr.1994.1095 | |
dc.source | Scopus | |
dc.type | Article | |
dc.contributor.department | MATHEMATICS | |
dc.description.doi | 10.1006/jabr.1994.1095 | |
dc.description.sourcetitle | Journal of Algebra | |
dc.description.volume | 165 | |
dc.description.issue | 1 | |
dc.description.page | 1-22 | |
dc.description.coden | JALGA | |
dc.identifier.isiut | A1994NL09800001 | |
Appears in Collections: | Staff Publications |
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