HOMOGENEOUS GORENSTEIN IDEALS AND BOIJ SÖDERBERG DECOMPOSITIONS

This thesis consists of two parts. Part one revolves around a construction for homogeneous Gorenstein ideals and properties of these ideals. Part two focuses on the behavior of the Boij-Söderberg decomposition of lex ideals. Gorenstein ideals are known for their nice duality properties. For codimens...

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Bibliographic Details
Main Author: Güntürkün, Sema
Format: Others
Published: UKnowledge 2014
Subjects:
Online Access:http://uknowledge.uky.edu/math_etds/15
http://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1016&context=math_etds