2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/75592Stanley showed that monomial complete intersections have the strong Lefschetz property. Extending this result we show that a simple extension of an Artinian Gorenstein algebra with the strong Lefschetz property has again the strong Lefschetz property.Commutative AlgebraAlgebraic Geometry13D40, 13P10, 13C40, 13D07text