- #1
mclove
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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)