Characterization of Hilbert Functions of Gorenstein Artin Algebras with the Weak Stanley Property

Tadahito Harima
1995 Proceedings of the American Mathematical Society  
We give a characterization of Hubert functions of Gorenstein Artin algebras with the weak Stanley property. Namely, we prove that a necessary and sufficient condition for a given O-sequence H_ to be the Hubert function of some Gorenstein Artin algebra with the weak Stanley property is that the sequence H is an Si-sequence. the details). A sequence H = (ho, hx, ... , hs) of positive integers is called a
doi:10.2307/2161887 fatcat:vmswcrwtmbazdketena3sqbjee