ArchivIA Università degli Studi di Catania

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:

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 SizeFormatVisibility
FVCGPP85A07I535M-(A)Favacchio-Giuseppe-phdThesis.pdfFavacchio Giuseppe Phd Thesis19,73 MBAdobe PDFView/Open

Items in ArchivIA are protected by copyright, with all rights reserved, unless otherwise indicated.

Share this record




Stumble it!



  Browser supportati Firefox 3+, Internet Explorer 7+, Google Chrome, Safari

ICT Support, development & maintenance are provided by the AePIC team @ CILEA. Powered on DSpace Software.