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Let R and S be rings. Show that R x S is semisimple if and only if both R and S are semisimple.

I have the converse direction ($\Leftarrow$). It is the other direction ($\Rightarrow$), that I know I have use the Wedderburn-Artin Theorem. I just am stuck in that direction.

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    It is very impolite to post in the imperative (giving orders), simply quoting your homework problem. You should give some context (what course is this for), and what you have tried or why you are stuck. "Help needed" is hardly sufficient.2011-05-02
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    @ Arturo, I'm sorry, this is my first time on here. I was directed here from someone else. I apologize for any trouble.2011-05-02
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    It's no trouble. But kindly edit the question to take out the unintended rudeness. Next time, you'll know to do it from the get go. (-:2011-05-02
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    it was also impolite there too :)2011-05-02

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