On the support of General local cohomology modules and filter regular sequences

Abstract

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