Some bounds for the annihilators of local cohomology and Ext modules

2020/09/06 by Fathi, Ali
#13D07 #13D45 #Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.02662

Abstract

Let \mathfrak a be an ideal of a commutative Noetherian ring R and t be a non-negative integer. Let M and N be two finitely generated R-modules. In certain cases, we give some bounds under inclusion for the annihilators of Ext^t_R(M, N) and H^t_{\mathfrak a}(M) in terms of minimal primary decomposition of the zero submodule of M which are independent of the choice of minimal primary decomposition. Then, by using those bounds, we compute the annihilators of local cohomology and Ext modules in certain cases.

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