How can I show that the map, here Z= integers \phi: Z/3Z /times Z/3Z ---> Z/3Z defined by phi(x,y) = xy is well-defined.
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Originally Posted by peteryellow How can I show that the map, here Z= integers \phi: Z/3Z /times Z/3Z ---> Z/3Z defined by phi(x,y) = xy is well-defined. If and then it means and . Therefore, and so .
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