New families of Artinian Gorenstein algebras with the weak Lefschetz property
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866913703510671360 |
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| author | Altafi, Nasrin Dinu, Rodica Masuti, Shreedevi K. Miró-Roig, Rosa M. Seceleanu, Alexandra Villamizar, Nelly |
| author_facet | Altafi, Nasrin Dinu, Rodica Masuti, Shreedevi K. Miró-Roig, Rosa M. Seceleanu, Alexandra Villamizar, Nelly |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_16687 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | New families of Artinian Gorenstein algebras with the weak Lefschetz property Altafi, Nasrin Dinu, Rodica Masuti, Shreedevi K. Miró-Roig, Rosa M. Seceleanu, Alexandra Villamizar, Nelly Commutative Algebra 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. |
| title | New families of Artinian Gorenstein algebras with the weak Lefschetz property |
| topic | Commutative Algebra |
| url | https://arxiv.org/abs/2502.16687 |