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It is easy I want to make sure if got the idea right

Assume $R=Z[x,y]$, $I=$, $J=$ are two ideals of $R$ then

$ I J=$. Is it right?

Any suggestions will be appreciated

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    It's correct; however, as a final answer, you should delete the repeated generator $x^2y^2$. – 2017-01-26
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    @Team I delete **i**. is this correct? – 2017-01-26

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