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    R-module proof

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    Let R be a ring with identity. Recall that the non-zero R-module M is simple...

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    Please see the attachment.

    Suppose that is a commutative ring and that is an ideal of . Show that the -module is simple if and only if is a maximal ideal..
    " ": Suppose that is simple. I want to show that is a maximal ideal. If not, then we can find ...

    Solution Summary

    This is a proof that the R-module is simple if and only if I is a maximal ideal.