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Lefschetz properties and hyperplane arrangements

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Abstract In this article, we study the weak and strong Lefschetz properties, and the related notion of almost revlex ideal, in the non-Artinian case, proving that several results known in… Click to show full abstract

Abstract In this article, we study the weak and strong Lefschetz properties, and the related notion of almost revlex ideal, in the non-Artinian case, proving that several results known in the Artinian case hold also in this more general setting. We then apply the obtained results to the study of the Jacobian algebra of hyperplane arrangements.

Keywords: lefschetz properties; hyperplane arrangements; properties hyperplane

Journal Title: Journal of Algebra
Year Published: 2020

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