ordered field

English

Noun

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

Hyponyms

Archimedean ordered field
- real number system
Euclidean field

Translations

field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides

Portuguese: corpo ordenado m

Romanian: corp ordonat n

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