ordered field
ordered field · ordered fields
A field which has an order relation satisfying these properties: trichotomy,…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.
Meaning
1 sensesA 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.
Translations
2 languagesForms
plural: ordered fields| Singular | ordered field |
|---|---|
| Plural | ordered fields |
regular