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.

Linear quotients of Artinian Weak Lefschetz algebras

FAVACCHIO, GIUSEPPE;RAGUSA, Alfio;ZAPPALA', Giuseppe
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.
2013
Weak Lefschetz; Artinian algebra; Quotient
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11769/35402
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