“School of Mathematics”
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Paper IPM / M / 15244  


Abstract:  
Let Z be a specialization closed subset of \Spec R and X a left homologically bounded complex
with finitely generated homologies. We provide some inequalities between the Bass numbers of X and its local cohomology modules with respect to Z. As an application of these inequalities we provide a comparison between the injective dimensions of X and its nonzero local cohomology module \"_{Z}^{i}(X). Our versions contain variations of some results already known on these area.
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