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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 | Abstract: | This 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 | Services: | Forum | Review | PDF | Favorites |
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