University of Guilan Journal of Algebra and Related Topics 2345-3931 4 1 2016 06 01 Results on Hilbert coefficients of a Cohen-Macaulay module 33 37 1782 EN A. Mafi University of Kurdistan H. Saremi Islamic Azad University, Sanandaj Branch Journal Article 2016 03 06 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 \cite[Corollary 10(4)]{P} and also we show that if $M$ is a Cohen-Macaulay $R$-module and $d=2$, then $\lambda(\frac{\widetilde{I^nM}}{J\widetilde{I^{n-1}M}})$ does not depend on $J$ for all $n\geq 1$, where $J$ is a minimal reduction of $I$. https://jart.guilan.ac.ir/article_1782_30576b5a834b8dd9eb6c4546fb7d4f34.pdf