Lefschetz properties of monomial algebras with almost linear resolution

We study the WLP and SLP of artinian monomial ideals in S = K[x1,...,xn] via studying their minimal free resolutions. We study the Lefschetz properties of such ideals where the minimal free resolution of S/I is linear for at least n–2 steps. We give an affirmative answer to a conjecture of Eisenbud, Huneke and Ulrich for artinian monomial algebras with almost linear resolution.
QC 20200506