论文标题
两个希尔伯特系数的上限
Upper bounds on two Hilbert coefficients
论文作者
论文摘要
给出了当地环上Cohen-Macaulay模块的第一个和第二个希尔伯特系数的新上限。提供特征，以便获得一些上限。这些特征是根据希尔伯特（Hilbert）系列以及相关分级模块的Castelnuovo-Mumford的规律性给出的。
New upper bounds on the first and the second Hilbert coefficients of a Cohen-Macaulay module over a local ring are given. Characterizations are provided for some upper bounds to be attained. The characterizations are given in terms of Hilbert series as well as in terms of the Castelnuovo-Mumford regularity of the associated graded module.
