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Please use this identifier to cite or link to this item: https://scholarbank.nus.edu.sg/handle/10635/104468
DC FieldValue
dc.titleWeakly *-ordered *-fields
dc.contributor.authorLeung, K.H.
dc.date.accessioned2014-10-28T02:49:43Z
dc.date.available2014-10-28T02:49:43Z
dc.date.issued1995-03-10
dc.identifier.citationLeung, K.H. (1995-03-10). Weakly *-ordered *-fields. Journal of Pure and Applied Algebra 99 (2) : 221-238. ScholarBank@NUS Repository.
dc.identifier.issn00224049
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104468
dc.description.abstractLet (D, *) be a weakly *-ordered *-field and F′ the field of symmetric elements in the center of D. We find a necessary and sufficient condition to extend an ordering of F′ to a weak *-ordering of (D, *). Using this, we prove that our notion of weak preorderings is the correct generalization of preorderings in ordered fields. We then study the notion of forms over weak preorderings and SAP preorderings. As a result, we can also determine when a semiordering of F′ be extendable to a Baer ordering in (D, *). © 1995.
dc.sourceScopus
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.sourcetitleJournal of Pure and Applied Algebra
dc.description.volume99
dc.description.issue2
dc.description.page221-238
dc.description.codenJPAAA
dc.identifier.isiutNOT_IN_WOS
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