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## 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[tex]\rightarrow[/tex] IM [tex]\rightarrow[/tex] M [tex]\rightarrow[/tex] M/IM [tex]\rightarrow[/tex] O is exact seq

To show that M/IM=O (then M=IM)