2009/03/20 by Toshiaki Maeno, Maeno, Toshiaki, Junzo Watanabe +1 · 2 citations
Mathematics · #13E10 #13H10 #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics
paper · pdf · doi:10.48550/arxiv.0903.3581
openalex publication_date 2009/03/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We give a characterization of the Lefschetz elements in Artinian Gorenstein rings over a field of characteristic zero in terms of the higher Hessians. As an application, we give new examples of Artinian Gorenstein rings which do not have the strong Lefschetz property.