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- W2170196722 abstract "Let A be a commutative Noetherian ring (with non-zero identity). The Cousin complex C ( A ) for A is described in [19, Section 2]: it is a complex of A -modules and A -homomorphisms with the property that, for each n ∈ N 0 (we use N 0 to denote the set of non-negative integers), Cohen–Macaulay rings can be characterized in terms of the Cousin complex: A is a Cohen–Macaulay ring if and only if C ( A ) is exact [19, (4.7)]. Also, the Cousin complex provides a natural minimal injective resolution for a Gorenstein ring (see [19,(5.4)])." @default.
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- W2170196722 date "1990-05-01" @default.
- W2170196722 modified "2023-09-24" @default.
- W2170196722 title "Generalized fractions and Hughes' gradetheoretic analogue of the Cousin complex" @default.
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- W2170196722 doi "https://doi.org/10.1017/s0017089500009198" @default.
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