Forcing the weak Lefschetz property for equigenerated monomial ideals

Abstract

We classify the minimal number of generators of artinian equigenerated monomial ideals $I$ such that $\mathbb{k}[x_1,\dots ,x_n]/I$ is forced to have the weak Lefschetz property.

27 pages

References in corpus (2)

• On decomposing monomial algebras with the Lefschetz properties
• The Weak Lefschetz property for quotients by Quadratic Monomials