Cousin complexes without partially exact Cousin complex arguments (Q909725)

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scientific article; zbMATH DE number 4137934
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Cousin complexes without partially exact Cousin complex arguments
scientific article; zbMATH DE number 4137934

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    Cousin complexes without partially exact Cousin complex arguments (English)
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    1990
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    \textit{R. Y. Sharp} [Math. Z. 112, 340-356 (1969; Zbl 0182.061)] associates to any R-module M the Cousin complex \(C^{\bullet}(M)\). The author simplifies this construction and avoids the technical ``partially exact Cousin complex argument'' (P.E.C.C.A.) to prove that the ring R is Cohen- Macaulay if and only if the Cousin complex \(C^{\bullet}(R)\) is a resolution of R.
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    Cousin complex
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    Cohen-Macaulay
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