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| Paper IPM / M / 137 |
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Let A be a non-zero Artinian R-module. For an arbitrary ideal
I of R, we show that the local homology module Hxp(A) is
independent of the choice of x whenever 0:A I=0:A(x1,…, xr). Thus, identifying these modules, we write
HpI (A). In this paper we prove that there is a certain
duality between HiI(A) and the local cohomology modules and
provide some information about the vanishing local homology module
HiI(A) which gives an improved form of the main results of
[22].
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