RESULTS ON HILBERT COEFFICIENTS OF A COHEN-MACAULAY MODULE

Let (R, m) be a commutative Noetherian local ring, M a finitely generated R-module of dimension d, and let I be an ideal of definition for M. In this paper, we extend [7, Corollary 10(4)] and also we show that if M is a Cohen-Macaulay R-module and d = 2, then λ( I]nM JI^n−1M ) does not depend on J for all n ≥ 1, where J is a minimal reduction of I.