The weak Lefschetz property for Artinian Gorenstein algebras of codimension three (Q2301467)

The paper under review is about the weak Lefschetz property for an Artinian graded algebra \(A\) over a field \(K\). The authors consider a class of graded Artinian Gorenstein algebras of codimension 3 built up starting from the Apéry set of a numerical semigroup generated by 4 natural numbers. They show that these algebras have the weak Lefschetz property whenever the initial degree of their defining ideal is small.