Approximations and Endomorphism Algebras of Modules (eBook)

Volume 1 – Approximations / Volume 2 – Predictions

Rüdiger Göbel, Jan Trlifaj (Autoren)

eBook Download: PDF

2012 | 2nd rev. and exp. ed.
1024 Seiten
De Gruyter (Verlag)
978-3-11-021811-4 (ISBN)

Infos

This monograph – now in its second revised and extended edition – 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 starts from basic facts and gradually develops the theory towards its present frontiers.

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

Autor

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

Rezensionen

lt;P>"I strongly recommend the monograph to anyone who is interested in the modern theory of modules."
(pruz), EMS Newsletter 9/2007

"All in all, I highly recommend the book to everyone interested in cotorsion pairs, approximation theory, realization of algebras or application of set theory to algebra."
Gábor Braun, Zentralblatt MATH 1121/2007

"The monograph starts from basic facts and gradually develops the theory towards its present frontiers. It is suitable both for graduate students interested in algebra and for experts in module and representation theory."
L'Enseignement Mathematique 3-4/2006

"As was true for the first edition this book provides a good introduction into the subject for self-study at a graduate level and it also provides a very comprehensive survey on the subjects presenting the state-of-the-art. Both volumes have been written in a very clear and self-explaining way and the contents shows the expertise of the two authors in the field. […] The book by Göbel and Trlifaj is certainly one of the most comprehensive elaborations on module theory and its interaction with set-theory and more generally logic. It shows once more that the two authors are strong experts in their fields. New and recent topics are covered in the same brilliant way of writing as before and bring the reader up to date. […] Approximations and Endomorphism Algebras by Göbel and Trlifaj is a marvelous work that can be used either for self-study introducing the reader to a very interesting field of research or as the main reference book covering a wide scope of results and techniques on topics in module theory and set-theoretic applications to it. I can only recommend it to anyone interested in these fields." Zentralblatt für Mathematik

Produkt-Details

• Erscheint lt. Verlag: 1.10.2012
• Reihe/Serie: De Gruyter Expositions in Mathematics
• Reihe/Serie: De Gruyter Expositions in Mathematics
• Reihe/Serie: ISSN
• Reihe/Serie: ISSN
• Zusatzinfo: 125 b/w ill., 1 b/w tbl.
• Verlagsort: Berlin/Boston
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Technik
• Schlagworte: Algebra • Approximations of Modules • Cotorsion Pair • Endomorphism Algebra • E-Ring • Filtration • Ideal • Infinite Dimensional Tilting Theory • Modul • Prediction Principle • Ring • Unzerlegbarer Modul
• ISBN-10: 3-11-021811-9 / 3110218119
• ISBN-13: 978-3-11-021811-4 / 9783110218114