Some bounds for the annihilators of local cohomology and Ext modules

Abstract

Let a be an ideal of a commutative Noetherian ring R, and let M and N be two finitely generated R-modules such that N is Gorenstein. For an integer t, we give some bounds under inclusion for the annihilators of Ext t R (M, N ) and H t a (M ) in terms of minimal primary decomposition of 0 in M which are independent of the choice of minimal primary decomposition.