Abstract
ABSTRACT Let A be a noetherian local ring with dimension d and I be an ideal of A . Let E=( E n )n≥ 0 be a good I-filtration of submodules of an A-module E . Let H be an ideal of A containing I and F H E) = ⨁n ≥ 0 E n / HE n . Assume that E is a Cohen–Macaulay module with λ(E/IE) finite and Ann(E) = 0, and let J be a minimal reduction of I. In this paper we give conditions on λ(E n ∩ JE/JE n−1) and λ(HE n ∩ JE/JHE n−1) so, that F H (E), has depth of at least d − 1.
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