ArchivIA - Archivio istituzionale dell'Universita' di Catania >
Tesi >
Tesi di dottorato >
Area 01 - Scienze matematiche e informatiche >
Please use this identifier to cite or link to this item:
http://hdl.handle.net/10761/1550
|
Issue Date: | 25-Feb-2014 |
Authors: | Favacchio, Giuseppe |
Title: | 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. |
Appears in Collections: | Area 01 - Scienze matematiche e informatiche
|
Files in This Item:
File |
Description |
Size | Format | Visibility |
FVCGPP85A07I535M-(A)Favacchio-Giuseppe-phdThesis.pdf | Favacchio Giuseppe Phd Thesis | 19,73 MB | Adobe PDF | View/Open
|
|
Items in ArchivIA are protected by copyright, with all rights reserved, unless otherwise indicated.
|