T. Harima, CHARACTERIZATION OF HILBERT-FUNCTIONS OF GORENSTEIN ARTIN-ALGEBRAS WITH THE WEAK STANLEY PROPERTY, Proceedings of the American Mathematical Society, 123(12), 1995, pp. 3631-3638
We give a characterization of Hilbert functions of Gorenstein A-tin al
gebras with the weak Stanley property. Namely, we prove that a necessa
ry and sufficient condition for a given O-sequence H to be the Hilbert
function of some Gorenstein Artin algebra with the weak Stanley prope
rty is that the sequence H is an SI-sequence.