@article {
author = {Mafi, A. and Saremi, H.},
title = {Results on Hilbert coefficients of a Cohen-Macaulay module},
journal = {Journal of Algebra and Related Topics},
volume = {4},
number = {1},
pages = {33-37},
year = {2016},
publisher = {University of Guilan},
issn = {2345-3931},
eissn = {2382-9877},
doi = {},
abstract = {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 $I$.},
keywords = {Cohen-Macaulay rings,Hilbert series,Hilbert function},
url = {https://jart.guilan.ac.ir/article_1782.html},
eprint = {https://jart.guilan.ac.ir/article_1782_30576b5a834b8dd9eb6c4546fb7d4f34.pdf}
}