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finiteness of Ext

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mehdi

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Sep 27, 2008, 10:00:05 AM9/27/08
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let R be commutative notherian ring and I, J be ideals of R and M be
an R-module. we know that Ext^i(R/I,M) is finite for evry non-negative
integer i.
1- can we say that Ext^i(R/I,M/JM) is finite for all i?
2- i know with this assumptaion Ext^i(R/I+J,M) is finite, can we say
that Ext^i(R/I,M/JM) is finite?

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