Last Updated：2025/11/26
(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.
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ordered field
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Source Word
ordered field
Noun
Japanese Meaning
順序付き体：代数学における体で、体の元に対して順序関係が定められ、三分法、推移性、同一の元を加えた場合の不等式の保持、及び正の元を掛けた場合の不等式の保持などの条件を満たすもの。
（ plural ）
