On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules

Abstract

This paper shows that if $R$ is a homomorphic image of a Cohen-Macaulay local ring, then $R$-module $M$ is sequentially generalized Cohen-Macaulay if and only if the difference between Hilbert coefficients and arithmetic degrees for all distinguished parameter ideals of $M$ are bounded.

arXiv comment14 pages. Comments welcome!