Please use this identifier to cite or link to this item: https://doi.org/10.1006/jabr.1994.1095
DC FieldValue
dc.titleStrong Approximation Property for Baer Orderings on *-Fields
dc.contributor.authorLeung, K.H.
dc.date.accessioned2014-10-28T02:46:32Z
dc.date.available2014-10-28T02:46:32Z
dc.date.issued1994-04-01
dc.identifier.citationLeung, 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.issn00218693
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104205
dc.description.abstractLet (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.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1006/jabr.1994.1095
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1006/jabr.1994.1095
dc.description.sourcetitleJournal of Algebra
dc.description.volume165
dc.description.issue1
dc.description.page1-22
dc.description.codenJALGA
dc.identifier.isiutA1994NL09800001
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