Linear quotients of Artinian Weak Lefschetz algebras

Autores: Giuseppe Favacchio, Alfio Ragusa, Giuseppe Zappalà
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 10, 2013, págs. 1955-1966
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.01.009
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Resumen
- 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.