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Possible Duplicate:
Annihilator of a simple module

Let me ask the same question as before because I still have trouble understanding the problem.

Let $R$ be a finitely generated commutative ring and $C$ an $R$-algebra ($C$ is not necessarily commutative). Assume that $C$ is a finitely generated $R$-module.

If $S$ is a simple $C$-module, then it seems known that the annihilator $I=Ann_{C}(S)$ of $S$ is of the form $I=\mathfrak{m}C$ for some maximal ideal $\mathfrak{m}$ of $R$. Could anyone provide me of a proof?

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    It would be better to edit your old question or comment on Matt E's answer to say why you don't understand it. This is a duplicate.2012-08-18

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