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.
Favacchio G., Ragusa A., Zappala G. (2013). Linear quotients of Artinian Weak Lefschetz algebras. JOURNAL OF PURE AND APPLIED ALGEBRA, 217(10), 1955-1966 [10.1016/j.jpaa.2013.01.009].
Linear quotients of Artinian Weak Lefschetz algebras
Favacchio G.;
2013-01-01
Abstract
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.
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