Description
Title: Herzog-Kuhl Equations and its Applications - II
Abstract: In these talks, we will see relations between Hilbert series of
a module and its graded Betti numbers. This gives relations between the
graded Betti numbers of a modules which are known as Herzog-Kuhl
equations. As an application, we show that the property of R being
Cohen-Macaulay is characterized by the existence of a pure Cohen-Macaulay
R-module of finite projective dimension.