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抽象代数中,有序环是一个(通常是交换的)环R,存在全序≤,使得对于R中的所有a、b和c:[1]

如果a ≤ b,则a + c ≤ b + c。 如果0 ≤ a和0 ≤ b,那么0 ≤ ab。

实数是一个有序环,也是有序栏位。 整数是实数的子集,是一个有序环,不是有序栏位。

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