Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property

Harima, Tadahito

doi:10.1090/S0002-9939-1995-1307527-7

Characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property
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Proc. Amer. Math. Soc. 123 (1995), 3631-3638 Request permission

Abstract:

We give a characterization of Hilbert functions of Gorenstein Artin algebras with the weak Stanley property. Namely, we prove that a necessary and sufficient condition for a given O-sequence $\underline H$ to be the Hilbert function of some Gorenstein Artin algebra with the weak Stanley property is that the sequence $\underline H$ is an SI-sequence.

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