Homological properties of monomial ideals associated to quasi-trees and lattices [Elektronische Ressource] / vorgelegt von Xinxian Zheng

Description

HOMOLOGICAL PROPERTIES OF MONOMIAL IDEALSASSOCIATED TO QUASI-TREES AND LATTICESDissertationdem Fachbereich Mathematikder Universitat¨ Duisburg-Essenzur Erlangung desDoktorgrades (Dr. rer. nat.)vorgelegt vonXinxian ZhengausJiangsu, ChinaTag der mundlichen¨ Prufung:¨ 25. August 2004Vorsitzender der Prufungsk¨ ommission: Prof. Dr. Wolfgang LempkenGutachter: Prof. Dr. Jur¨ gen HerzogProf. Dr. Takayuki HibiAcknowledgementsI am very grateful to Professor Jur¨ gen Herzog for his invaluable support and guidancethroughout the preparation of this thesis.I wish to express my thanks to Professor Takayuki Hibi for many useful discussionsduring the period he visited Professor Herzog, and to my colleague Attila Wiebe for hisencouragement and support especially at the beginning when I came to Essen.I would like to thank my former advisor of my master degree thesis Professor Zhong-ming Tang, who introduced me to Commutative Algebra.I also would like to thank Professor Winfried Bruns and Professor Tim Romer¨ forseveral technical advices concerning the layout of this thesis.My special thanks go to my husband Jinbo Liu for his support and patience in thisthree years. Finally, I would like to thank Maja Herzog, the wife of Professor Herzog.She helped a lot to settle in and feel comfortable here in Essen.3ContentsAcknowledgements 3Introduction 7Chapter 1. Basic facts on graphs 131. Graphs and trees 132. Directed graphs 153. The marriage problem 154.

Sujets

• Mathematics

Informations

• Publié par: universitat_duisburg-essen
• Publié le: 01 janvier 2004
• Nombre de lectures: 39

Extrait