ordered field en · NOUN
Meanings
- 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.
Forms
| Spelling | Features | Labels | Source |
|---|---|---|---|
| ordered fields | Number=Plur | lexicographic |
Hypernyms
ordered integral domain · field
Hyponyms
Euclidean field · Archimedean ordered field · real number system
Translations (3)
pl ciało uporządkowane (field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides) · ro corp ordonat (field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides) · pt corpo ordenado (field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides)