SOME RESULTS ON COFINITE MODULES

Year 2012, Volume: 11 Issue: 11, 82 - 95, 01.06.2012

A. R. Naghipour

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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• Department of Mathematics Faculty of Science Shahrekord University Shahrekord, Iran e-mail: [e-mail]