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The weak Lefschetz property for Artinian Gorenstein algebras of codimension three

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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 Apery set of a numerical… Click to show full abstract

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 Apery 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.

Keywords: gorenstein algebras; algebras codimension; artinian gorenstein; weak lefschetz; lefschetz property

Journal Title: Journal of Pure and Applied Algebra
Year Published: 2020

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