# name
Upper bounds on two Hilbert coefficients

# metadata.dc.description.abstract[].value
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.

# metadata.dc.rights[].value
cc-by-nc-nd (c) Le Xuan Dung et al., 2023

# metadata.dc.source[].value
Articles publicats en revistes (Matemàtiques i Informàtica)

# metadata.dc.title[].value
Upper bounds on two Hilbert coefficients