A study of Cousin complexes through the dualizing complexes
classification
🧮 math.AC
keywords
complexescousinmodulescanonicalcertaincohomologycomplexdiscussed
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For the Cousin complex of certain modules, we investigate finiteness of cohomology modules, local duality property and injectivity of its terms. The existence of canonical modules of Noetherian non-local rings and the Cousin complexes of them with respect to the height filtration are discussed .
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