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  • International Electronic Journal of Algebra
  • Volume:11 Issue:11
  • SOME RESULTS ON COFINITE MODULES

SOME RESULTS ON COFINITE MODULES

Authors : A R Naghipour
Pages : 82-95
View : 15 | Download : 13
Publication Date : 2012-06-01
Article Type : Research Paper
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

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