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Paper IPM / M / 7378  


Abstract:  
Let R be commutative Noetherian ring and let \fraka be an
ideal of R. For complexes X and Y of Rmodules we
investigate the invariant inf RΓ_{\frak a}
(RHom_{R}(X,Y)) in certain cases. It is shown that,
for bounded complexes X and Y with finite homology,
dimY ≤ dimRHom_{R}(X,Y) ≤ proj.dimX+dim(X⊗^{ L}_{R}Y)+sup X which strengthen the Intersection Theorem. Here inf
X and sup X denote the homological infimum,
and supremum of the complex X, respectively.
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