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On the support of general local cohomology modules and filter regular sequences
(Quaestiones Mathematicae, 2011) Abdioğlu, Cihat; Khashyarmanesh, Kazem; Koşan, Tamer
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 Hn a (N;M) must be closed in Zariski topology, where Hn a (N;M) is the nth general local cohomology module of nitely generated R-modules M and N with respect to the ideal a.
On the support of general local cohomology modules and filter regular sequences
(Natl Inquiry Services Centre Pty Ltd, 2011) Abdioğlu, Cihad; Khashyarmanesh, Kazem; Koşan, M. Tamer
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-a(n)(N, M) must be closed in Zariski topology, where H-a(n)(N, M) is the nth general local cohomology module of finitely generated R-modules M and N with respect to the ideal a.