An isomorphism of the Cousin complexes
Commun. Korean Math. Soc. 1997 Vol. 12, No. 3, 491-497
Dae Sig Kim
Dongshin University
Abstract : Let $\Cal C(\Cal F, M)$ and $\Cal C(S^{-1}\Cal F,S^{-1}M)$ be Cousin complexes for a module M and a module $S^{-1}M$ over a commutative Noetherian ring with respect to a filtration $\Cal F$ and a filtration $S^{-1}\Cal F$ respectively. In this paper, it is shown that there is an isomorphism between the Cousin complexes $S^{-1}\Cal C(\Cal F, M)$ and $\Cal C(S^{-1}\Cal F, S^{-1}M).$
Keywords : Cousin complex, system of ideals, generalized Hughes complex
MSC numbers : 13E05, 13D25, 13H10
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