The weak Lefschetz property of Artinian algebras associated to paths and cycles

Graph polynomials (05C31) Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Commutative rings defined by monomial ideals; Stanley-Reisner face rings; simplicial complexes (13F55) Commutative Artinian rings and modules, finite-dimensional algebras (13E10)

Cites Work

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A tour of the weak and strong Lefschetz properties
A bipartite graph with non-unimodal independent set sequence
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Smooth monomial Togliatti systems of cubics
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Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
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The weak Lefschetz property for Artinian Gorenstein algebras of codimension three
The Lefschetz properties
A note on the weak Lefschetz property of monomial complete intersections in positive characteristic
Harbourne, Schenck and Seceleanu's conjecture
Monomial ideals, almost complete intersections and the Weak Lefschetz property
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Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
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Laplace Equations and the Weak Lefschetz Property
The weak Lefschetz property for quotients by quadratic monomials
Lefschetz properties of monomial algebras with almost linear resolution
A new proof of Stanley’s theorem on the strong Lefschetz property
On the Lefschetz property for quotients by monomial ideals containing squares of variables

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