The generators of a colon ideal with an application to the weak Lefschetz property for monomial almost complete intersections in three variables

Matthew Davidson Booth, Adela Vraciu

Much progress has been made in classifying when the weak Lefschetz property holds for $A=\mathbb{F}[x,y,z]/I$ where $\text{char}(\mathbb{F})=0$ and $I=(x^{d_{1}},y^{d_{2}},z^{d_{3}…