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Paper   IPM / M / 15244
School of Mathematics
  Title:   Bass numbers of derived local cohomology with respect to a specializaion closed subset
  Author(s):  Majid Rahro Zargar
  Status:   Published
  Journal: J. Algebra Appl.
  Year:  2019
  Pages:   10.1142/S0219498819500269
  Supported by:  IPM
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 non-zero local cohomology module \"Zi(X). Our versions contain variations of some results already known on these area.

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