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The weak Lefschetz property for Artinian Gorenstein algebras of codimension three (1912.04866v1)
Published 10 Dec 2019 in math.AC
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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