ordered field
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English[edit]
Noun[edit]
ordered field (plural ordered fields)
- (algebra) A field which has an order relation satisfying these properties: trichotomy, transitivity, preservation of an inequality when the same element is added to both sides, and preservation of an inequality when the same strictly positive element is multiplied to both sides.
Hypernyms[edit]
Hyponyms[edit]
Translations[edit]
field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides
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Further reading[edit]
- ordered field on Wikipedia.Wikipedia