ON MODULES WHOSE LOCAL COHOMOLOGY MODULES HAVE GENERALIZED COHEN-MACAULAY MATLIS DUALS

N. Tu Cuong, N. Thai Hoa, Le Thanh Nhan

Abstract


We consider the Matlis duals K^i(M)=Hom_A(H^i_m(M),E(A/m)) of the i-th local cohomology module H^i_m(M) of M with respect to the maximal ideal m and E(A/m) is the injective hull of A/m as a module on the m-adic completion A^. In this paper, we study the structure of modules M which are satisfied the condition that, for all i=1, ...,d?1, either K^i(M) is a generalized
Cohen-Macaulay module of dimensioni or \ell(K^i(M)) <?. We also present some counterexamples to a conjecture given in [4].

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