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The top left derived functors of the generalised I-adic completion

Authors
Publisher
AMPAI and CUP
Publication Date
Keywords
  • Derived Functor
  • Generalized $I-$Adic Completion
  • (Generalized) Local Homology
  • Co-Associated Prime.
  • 13D45
  • 16E30
  • 13J99.

Abstract

We study the top left derived functors of the generalized $I-$adic completion and get equivalent properties about the vanishing, non-vanishing of the modules $L_i\Lambda_I(M,N).$ We also obtain some results for the sets $\Coass(L_{i}\Lambda_I(M;N))$ and ${\Cosupp}_R(H^I_{i}(M;N)).$ 10.1017/S0004972712000871

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