학술논문

On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules
Document Type
Working Paper
Source
Subject
Mathematics - Commutative Algebra
Language
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.
Comment: 14 pages. Comments welcome!