Last Updated:2025/11/26
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When studying an ordered field, one must ensure the order satisfies trichotomy, transitivity, and compatibility with addition and multiplication by positive elements.
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When studying an ordered field, one must ensure the order satisfies trichotomy, transitivity, and compatibility with addition and multiplication by positive elements.
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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。
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