On Hilbert coefficients and sequentially generalized Cohen-Macaulay modules

2022/08/19 by Cuong, Nguyen Tu, Long, Nguyen Tuan, Truong, Hoang Le
#Commutative Algebra (math.AC) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.09112

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.

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