Resumen de Linear quotients of Artinian Weak Lefschetz algebras

Giuseppe Favacchio, Alfio Ragusa, Giuseppe Zappalà

• We study the Hilbert function and the graded Betti numbers for ��generic�� linear quotients of Artinian standard graded algebras, especially in the case of Weak Lefschetz algebras.

  Moreover, we investigate a particular property of Weak Lefschetz algebras, the Betti Weak Lefschetz Property, which makes possible to completely determine the graded Betti numbers of a generic linear quotient of such algebras.