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math.AC2025
Computation of dominant ideals
Anna Maria Bigatti, Nursel Erey, Selvi Kara +4
We consider the problem of determining whether a monomial ideal is dominant. This property is critical for determining for which monomial ideals the Taylor resolution is minimal. W…
math.AC2024
The Weak Lefschetz property and unimodality of Hilbert functions of random monomial algebras
Uwe Nagel, Sonja Petrović
In this work, we investigate the presence of the weak Lefschetz property (WLP) and Hilbert functions for various types of random standard graded Artinian algebras. If an algebra ha…