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Groups, Modules, and Model Theory - Surveys and Recent Developments

In Memory of Rüdiger Göbel

Editors: Droste, M., Fuchs, L., Goldsmith, B., Strüngmann, L. (Eds.)

  • Provides new and striking material in group theory and model theory
  • Presents a balanced mix of survey papers that will appeal to a wide audience ranging from beginning graduate students to experienced researchers
  • Includes research papers that reflect the most current research in the field
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eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-51718-6
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  • Immediate eBook download after purchase
Hardcover 114,39 €
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  • ISBN 978-3-319-51717-9
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  • Usually dispatched within 3 to 5 business days.
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About this book

This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas.  With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory. 

About the authors

Manfred Droste is Professor and Head of the Automata and Formal Languages Research Group in the Department of Computer Science at the University of Leipzig. His research interests include such theoretical computer science topics as automata theory, logic, algebraic models for concurrent systems, and domain theory, and such mathematical topics as model theory, automorphism groups, and ordered algebraic structures. He is editor of the Handbook of Weighted Automata.
László Fuchs is the Evelyn and John G. Phillips Distinguished Professor Emeritus in Mathematics at Tulane University. He was awarded the Kossuth Prize in 1953 and is a foreign member of the Hungarian Academy of Sciences. His research interests include abelian groups, commutative domains and their modules. He is the author of numerous publications, including Abelian Groups (Springer Monographs in Mathematics). 
Brendan Goldsmith is Research Director at the School of Mathematical Sciences of the Dublin Institute of Technology. Formerly, he served as Head of the School of Mathematics and President of DIT. His research interests include group theory and generalizations, commutative algebra, associative rings and algebras, and mathematical logic.

Lutz Strüngmann is Professor of Mathematics at the University of Duisberg-Essen. He has authored 56 publications since 1999 in the fields of group theory and generalizations, mathematical logic, commutative algebra and associative rings and algebras.

Table of contents (28 chapters)

  • Properties of Abelian Groups Determined by Their Endomorphism Ring

    Albrecht, Ulrich

    Pages 3-22

    Preview Buy Chapter 30,19 €
  • The Zero-Divisor Graph of a Commutative Semigroup: A Survey

    Anderson, David F. (et al.)

    Pages 23-39

    Preview Buy Chapter 30,19 €
  • A Remak-Krull-Schmidt Class of Torsion-Free Abelian Groups

    Arnold, David M. (et al.)

    Pages 41-68

    Preview Buy Chapter 30,19 €
  • Rigid ℵ1-Free Abelian Groups with Prescribed Factors and Their Role in the Theory of Cellular Covers

    Braun, Gábor (et al.)

    Pages 69-81

    Preview Buy Chapter 30,19 €
  • Definable Valuations Induced by Definable Subgroups

    Dupont, Katharina

    Pages 83-108

    Preview Buy Chapter 30,19 €

Buy this book

eBook 91,62 €
price for Spain (gross)
  • ISBN 978-3-319-51718-6
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-51717-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Groups, Modules, and Model Theory - Surveys and Recent Developments
Book Subtitle
In Memory of Rüdiger Göbel
Editors
  • Manfred Droste
  • Laszlo Fuchs
  • Brendan Goldsmith
  • Lutz Strüngmann
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and The Author(s) 2018
eBook ISBN
978-3-319-51718-6
DOI
10.1007/978-3-319-51718-6
Hardcover ISBN
978-3-319-51717-9
Edition Number
1
Number of Pages
XXXIV, 475
Number of Illustrations and Tables
30 b/w illustrations
Topics