Göbel / Trlifaj Approximations and Endomorphism Algebras of Modules

1. Auflage 2008
ISBN: 978-3-11-019972-7
Verlag: De Gruyter
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, Band 41, 664 Seiten

Reihe: De Gruyter Expositions in Mathematics

This monograph provides a thorough treatment of module theory, a subfield of algebra. The authors develop an approximation theory as well as realization theorems and present some of its recent applications, notably to infinite-dimensional combinatorics and model theory. The book is devoted to graduate students interested in algebra as well as to experts in module theory.

Autoren/Hrsg.

Göbel, Rüdiger

Trlifaj, Jan

Fachgebiete

• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie

Inhaltsverzeichnis

Contents
Chapter 1. Some useful classes of modules
Chapter 2. Approximations of modules
Chapter 3. Complete cotorsion pairs
Chapter 4. Deconstruction of cotorsion pairs
Chapter 5. Tilting approximations
Chapter 6. 1–tilting modules and their applications
Chapter 7. Tilting approximations and the finitistic dimension conjectures
Chapter 8. Cotilting modules
Chapter 9. The Black Box and its relatives
Chapter 10. Independence results for cotorsion pairs
Chapter 11. The lattice of cotorsion pairs
Chapter 12. Realizing algebras – by algebraically independent elements and by prediction principles
Chapter 13. E(R)–algebras
Chapter 14. Modules with distinguished submodules
Chapter 15. Some useful classes of algebras
Backmatter

Über Autor(innen)

Rüdiger Göbel, University of Duisburg-Essen, Germany; Jan Trlifaj, Charles University, Prague, Czech Republic.