• Title/Summary/Keyword: Cousin complex

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AN ISOMORPHISM OF THE COUSIN COMPLEXES

  • Kim, Dae-Sig
    • Communications of the Korean Mathematical Society
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    • v.12 no.3
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    • pp.491-497
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    • 1997
  • Let $C(F, M)$ and $C(S^{-1}F, S^{-1}M)$ be Cousin complexes for a modula M and a module $S^{-1}M$ over a commutative Noetherian ring with respect to a filtration F and a filtration $S^{-1}F$ respectively. In this paper, it is shown that there is an isomorphism between the Cousin complexes $S^{-1}C(F, M)$ and $C(S^{-1}F, S^{-1}M)$.

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