# Maximal ideal

## Homework Statement

let M be an R-module and I an ideal of R
suppose Mm=0 for all maximal ideals m
then, M=IM

## The Attempt at a Solution

O$$\rightarrow$$ IM $$\rightarrow$$ M $$\rightarrow$$ M/IM $$\rightarrow$$ O is exact seq
To show that M/IM=O (then M=IM)