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math.AC2020★ 3 cited
A classification of the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
Mats Boij, Samuel Lundqvist
We use Macaulay's inverse system to study the Hilbert series for almost complete intersections generated by uniform powers of general linear forms. This allows us to give a classif…
math.AC2020★ 7 cited
On decomposing monomial algebras with the Lefschetz properties
Oleksandra Gasanova, Samuel Lundqvist, Lisa Nicklasson
We introduce a general technique for decomposing monomial algebras which we use to study the Lefschetz properties. We apply our technique to various classes of algebras, including…