Let be a nilpotent ideal in a commutative ring , let and be modules and let : be an module homomorphism. Show that if the induced map is surjective, then is surjective.

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- Nov 8th 2008, 10:22 PMzelda2139R-module homomorphism surjectivity
Let be a nilpotent ideal in a commutative ring , let and be modules and let : be an module homomorphism. Show that if the induced map is surjective, then is surjective.

- Nov 9th 2008, 12:32 AMNonCommAlg