2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/142759We study restrictions on cohomology algebras of Kaehler compact manifolds, not depending on the h^{p,q} numbers or the symplectic structure. To illustrate the effectiveness of these restrictions, we give a number of examples of compact symplectic manifolds satisfying the Lefschetz property but not having the cohomology algebra of a compact Kaehler manifold. We also prove the stability of these restrictions under products.Final version, to appear in Math. Annalen 2008Algebraic Geometry14C30, 32J27, 53D05text