抽象代數中,有序環是一個(通常是交換的)環R,存在全序≤,使得對於R中的所有a、b和c:[1]

如果a ≤ b,則a + c ≤ b + c。 如果0 ≤ a和0 ≤ b,那麼0 ≤ ab。

實數是一個有序環,也是有序欄位。 整數是實數的子集,是一個有序環,不是有序欄位。

參考文獻

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