Halbordnungen und maximale Teilkörper in gelochten algebraisch-abgeschlossenen Körpern |
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Authors: | Detlef Gröger |
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Institution: | (1) Institut für Geometrie, Technische Universität München, Arcisstraße 21, D-8000 München 2, Bundesrepublik Deutschland |
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Abstract: | In a former notice the author has shown that the so-calledh-closed fields (coming from halfordered fields) can be characterized in a similar way than the real closed fields (coming from ordered fields). But the case of characteristic 2 had been excluded. In this notice now a new characterization ofh-closed fields is given which includes fields of characteristic 2. Indeed, they are all maximal subfields of an algebraically closed field not containing a given element. |
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