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arXiv 2005-09-15 0 views

Finiteness of extension functors of local cohomology modules

Dibaei, Mohammad T. · Yassemi, Siamak

Original · EN

Let R be a commutative Noetherian ring, an ideal of R and M a finitely generated R--module. Let t be a non-negative integer such that ⁱ(M) is --cofinite for all i<t. It is well--known that ᵣ(R/,ᵗ(M)) is finitely generated R--module. In this paper we study the finiteness of ¹ᵣ(R/,ᵗ(M)) and ²ᵣ(R/,ᵗ(M)).

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