Quaestiones Mathematicae, ( ISI ), Volume (34), No (1), Year (2011-6) , Pages (479-487)

Title : ( On the support of General local cohomology modules and filter regular sequences )

Authors: Cihat Abdioglu , Kazem Khashyarmanesh , Tamer Kosan ,
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Abstract

Let R be a commutative Noetherian ring with non-zero identity and a an ideal of R. In the present paper, we examine the question whether the support of H^n_a(N,M) must be closed in Zariski topology, where H^n_a(N,M) is the n-th general local cohomology module of finitely generated R-modules M and N with respect to the ideal a.

Keywords

, Local cohomology module, Generalized local cohomology module, Support of local cohomology module, Filter regular sequence, Matlis duality functor.