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Paper   IPM / M / 452
School of Mathematics
  Title:   Local-Global principle for annihilation of general local cohomology
1.  Sh. Salarian
2.  J. Asadollahi
3.  K. Khashyarmanesh
  Status:   Published
  Journal: Colloq. Math.
  No.:  1
  Vol.:  87
  Year:  2001
  Pages:   129-136
  Supported by:  IPM
Let A be a Noetherian ring, let M be a finitely generated A-module and let Φ be a system of ideals of A. We prove that, for any ideal \fraka in Φ, if, for every prime ideal \frakp of A, there exists an integer k(\frakp), depending on \frakp, such that \frakak(\frakp) kills the general local cohomology module HΦ\frakpj(M\frakp) for every integer j less then a fixed integer n, where Φ\frakp:={\fraka\frakp:\fraka ∈ Φ}, then there exists an integer k such that \frakakHΦj(M)=0 for every j < n.

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