Uniquely transitive R-modules [Elektronische Ressource] / von Daniel Herden

Uniquely Transitive R-modulesDissertationzur Erlangung des akademischen Grades einesDoktors der NaturwissenschaftenvonDaniel Herdenvorgelegt beim Fachbereich Mathematikder Universit˜at Duisburg-Essen, Standort EssenEssen 2005Antragssteller: Daniel Herden,geb. am 11.10.1979in Munster,˜ WestfalenAbgabe der Dissertation: 26.04.2005Zulassung zur Promotion: 02.05.2005Tag der Disputation: 17.06.2005Prufungsaussc˜ hu…:Vorsitzender: Prof. Dr. W. LempkenGutachter: Prof. Dr. M. DrosteProf. Dr. R. G˜obelGod exists since mathematics is consistent,and the devil exists since we cannot prove it.HermannWeylAcknowledgementIwouldliketothankmysupervisor, Rudiger˜ G˜obel, forhisinvaluableadvice. Withouthis constant support and concern this work could never have been completed.I am indebted to my family, who enabled me to study and who always encouraged meto continue this work.I am also grateful to Lutz Strungmann˜ and Simone Walutis for their instructive adviceand support and to my colleagues Nicole Hulsmann,˜ Christian Muller˜ and SebastianPokutta for a pleasant working atmosphere and many productive discussions.Furthermore I would like to thank all my friends for giving me an enjoyable time apartfrom mathematics.This work is supported by the project No. I-706-54.6/2001 of the German-IsraeliFoundation for Scientiflc Research & Development.Dedicated to my parents.