Cousin complexes and generalized fractions
Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 51-67

Voir la notice de l'article provenant de la source Cambridge University Press

Let A be a commutative Noetherian ring (with non-zero identity). The Cousin complex C(A) for A is described in [6, §2]: it is a complex of A-modules and A-homomorphismswith the property that, for each n≥0,Cohen-Macaulay rings may be characterized in terms of the Cousin complex: A is a Cohen-Macaulay ring if and only if C(A) is exact [6, (4.7)]. Also the Cousin complex provides a natural minimal injective resolution for a Gorenstein ring: see [6, (5.4)].
Riley, Adrian M.; Sharp, Rodney Y.; Zakeri, Hossein. Cousin complexes and generalized fractions. Glasgow mathematical journal, Tome 26 (1985) no. 1, pp. 51-67. doi: 10.1017/S0017089500005772
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