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29 March 2024
 
  » arxiv » 1208.5934

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On the local cohomology modules deffined by a pair of ideals and serre subcategories
Kh. Ahmadi-Amoli ; M. Y. Sadeghi ;
Date 29 Aug 2012
AbstractThis paper is concerned about the relation between local cohomology modules defined?by a pair of ideals and Serre classes of R-modules, as a generalization of results of J. Azami, R. Naghipour and B. Vakili (2009) and M. Asgharzadeh and M.Tousi (2010). Let R be a commutative Noetherian ring, I, J be two ideals of R and M be an R-module. Let ain ~{W}(I; J) and t in N_0 be such that Ext^t_R(R/a,M)in S and Ext^j_R(R/a,H^i_I;J(M))inS for all i < t and all j>=0. Then for any submodule N of H^t_I;J(M) such that Ext^1_R(R/a;N)in,we obtain HomR(R=a;H^t_I;J(M)/N)inS.
Source arXiv, 1208.5934
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