Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지

AN ISOMORPHISM OF THE COUSIN COMPLEXES

  • Kim, Dae-Sig (Department of Mathematics Dongshin University)
  • Published : 1997.07.01
Download PDF
⟨ Previous Next ⟩

Abstract

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 $C(S^{-1}F, S^{-1}M)$.

Keywords

References

  1. Math. Zeit. v.112 The Cousin complex for a module over a commutative Noetherian ring R. Y. Sharp
  2. Math. Zeit. v.115 Gorenstein modules R. Y. Sharp
  3. Quart. J. Math. Oxford v.33 A Cousin complex characterization of balanced big Cohen-Macaulay modules R. Y. Sharp
  4. Proc. London Math. Soc. v.68 Cousin complexes and generalized Hughes complexes R. Y. Sharp;P.Schenzel