On preorders of ternary fields (Q1102989)
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scientific article; zbMATH DE number 4051698
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On preorders of ternary fields |
scientific article; zbMATH DE number 4051698 |
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On preorders of ternary fields (English)
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1988
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The concept of preorderings of orderable fields (see \textit{A. Prestel} [Lectures of formally real fields, IMPA Lect. Notes 22 (1974; Zbl 0548.12010)]) is extended to arbitrary ternary rings. Applications concerning the Serre criterion, the number of orderings of a ternary ring and the existence of orderings for which a given place is order- preserving are given.
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preordering
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ternary rings
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Serre criterion
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number of orderings
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