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arXiv · 2502.16687

New families of Artinian Gorenstein algebras with the weak Lefschetz property

Nasrin Altafi·Rodica Dinu·Shreedevi K. Masuti·Rosa M. Miró-Roig·Alexandra Seceleanu·Nelly Villamizar
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Abstract

We construct new families of Artinian Gorenstein graded $K$-algebras of arbitrary codimension having binomial Macaulay dual generators and satisfying the weak or the strong Lefschetz property. This is a companion paper to \cite{ADFMMSV}, which studies codimension three algebras having binomial Macaulay dual generators in great depth, establishing in particular that they enjoy the strong Lefschetz property.

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Nasrin Altafi, Rodica Dinu, Shreedevi K. Masuti, Rosa M. Miró-Roig, Alexandra Seceleanu, Nelly Villamizar. 2025-02-23. New families of Artinian Gorenstein algebras with the weak Lefschetz property. https://arxiv.org/abs/2502.16687

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