A study of Cousin complexes through the dualizing complexes

2004/07/11 by Mohammad T. Dibaei, Dibaei, Mohammad T.
Mathematics · #13D25 #13D45 #13H10 #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #msc:13D25 #msc:13D45 #msc:13H10

paper · pdf · doi:10.48550/arxiv.math/0407187

15 pages. Accepted for publication in Communication Algebra

arxiv created 2004/07/11 · arxiv updated 2009/12/01

Abstract

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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