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在数学中,反交换律(英语:Anticommutative property)是某些运算的特定属性。在满足反交换律的运算中,将前后两个参数交换位置,则会产生与交换前相反的结果。

例如,减法运算是一个满足反交换律的运算,因为它满足 ,例如




是一个加法群, “*” 是定义在 上的二元运算

如果“*”满足以下条件:对于任意的 ,有 ,那么,我们说二元运算“*”满足反交换律。




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