Phrase guide

ordered field

noun · 1 senses · updated from the 2026-07-25 local source snapshot

Definitions and examples are grouped by meaning. Pronunciation, history, word forms, translations, descendants, synonyms, antonyms, derived terms, and related words appear whenever the source provides them.

Sound

Pronunciation

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1

noun

Meaning 1

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.

Definition source: English Wiktionary via Wiktextract

Topics: algebra, mathematics, sciences

No example sentence was provided for this meaning.

Meaning relationships

Synonyms: none provided

Antonyms: none provided

History

Etymology

No etymology was provided for this word.

Across languages

Translations

3 source translations are retained for this English entry.

  • Polish: ciało uporządkowane — field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides
  • Portuguese: corpo ordenado — field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides
  • Romanian: corp ordonat — field satisfying the properties of trichotomy, transitivity and preservation of an inequality when the same element is added to both sides