The weak Lefschetz property for Artinian Gorenstein algebras of codimension three

Published 10 Dec 2019 in math.AC | (1912.04866v1)

Abstract: We study the weak Lefschetz property of a class of graded Artinian Gorenstein algebras of codimension three associated in a natural way to the Ap\'ery set of a numerical semigroup generated by four natural numbers. We show that these algebras have the weak Lefschetz property whenever the initial degree of their defining ideal is small.

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