具有几乎最大深度的滤链的Hilbert系数(英文)

摘要

Let F be a Hilbert filtration with respect to a Cohen-Macaulay R-module M. When G(F,M) and FK(F,M) have almost maximal depths, we show that the length λ(KInM/KJIn-1M) and the reduction number rJK (F,M) are independent of J. Lower bounds for the first and second Hilbert coefficients are obtained.