On the associated prime ideals of local cohomology modules defined by a pair of ideals

Abstract

Abstract. Let I and J be two ideals of a commutative Noetherian ring R and M be an R-module. For a non-negative integer n it is shown that, if the sets Ass R (Ext

On the endomorphism ring and Cohen-Macaulayness of local cohomology defined by a pair of ideals

“…Several authors have investigated the local cohomology modules with respect to a pair of ideals (see [1], [2], [5], [6], [8], [9], [18], [19], [28], [29]). The results on the behavior of endomorphism rings for local cohomology with respect to a pair of ideals were initially studied in [20] for rings, and no results are known for modules.…”