SOME RESULTS ON COFINITE MODULES
Authors : A. R. Naghipour
Pages : 82-95
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Publication Date : 2012-06-01
Article Type : Other
Abstract :Let R be a Noetherian ring and a be a proper ideal of R. We generalize the Rees characterization of grade for a-cofinite modules and as a consequence, we extend Grothendieck’s Non-vanishing Theorem. We also generalize the classical Auslander-Buchsbaum and Bass formulas.Keywords : Auslander-Buchsbaum formula, Bass formula, local cohomology, cofinite module