ordered field
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