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Utilizza questo identificativo per citare o creare un link a questo documento:
http://hdl.handle.net/10761/1550
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Data: | 25-feb-2014 |
Autori: | Favacchio, Giuseppe |
Titolo: | Cohen-Macaulayness of tower sets and Betti Weak Lefschetz Property |
Abstract: | We deal with the Cohen-Macaulay property for monomial squarefree ideals. We characterize the Cohen-Macaulay squarefree monomial ideals of codimension two just looking at their minimal prime ideals.
We introduce the notion of tower sets and other configurations which preserve the Cohen-Macaulayness.
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 determinate the graded Betti numbers of a generic linear quotient of such algebras. |
In | Area 01 - Scienze matematiche e informatiche
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