The weak Lefschetz property of Artinian algebras associated to paths and cycles
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Publication:6650710
DOI10.1007/s40306-024-00549-1MaRDI QIDQ6650710
Dang Hop Nguyen, Quang Hoa Tran
Publication date: 9 December 2024
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
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
- On the weak Lefschetz property for powers of linear forms
- Smooth monomial Togliatti systems of cubics
- Monomial complete intersections, the weak Lefschetz property and plane partitions
- Syzygy bundles on \(\mathbb P^2\) and the weak Lefschetz property
- Clique polynomials and independent set polynomials of graphs
- The strong Lefschetz property of monomial complete intersections in two variables
- Ideals of general forms and the ubiquity of the weak Lefschetz property.
- On the numbers of independent \(k\)-sets in a claw free graph
- The weak Lefschetz property, monomial ideals, and lozenges
- The Lefschetz properties of monomial complete intersections in positive characteristic
- On decomposing monomial algebras with the Lefschetz properties
- The weak Lefschetz property of equigenerated monomial ideals
- The weak Lefschetz property of Gorenstein algebras of codimension three associated to the Apéry sets
- On the weak Lefschetz property for almost complete intersections generated by uniform powers of general linear forms
- 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
- Inverse systems, Gelfand-Tsetlin patterns and the weak Lefschetz property
- The Weak Lefschetz Property for monomial complete intersection in positive characteristic
- Weyl Groups, the Hard Lefschetz Theorem, and the Sperner Property
- On the strong Lefschetz problem for uniform powers of general linear forms in 𝑘[𝑥,𝑦,𝑧]
- 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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