Approximations and Endomorphism Algebras of Modules [E-Book].
Trlifaj, Jan
Göbel, Rüdiger
Berlin : De Gruyter
1 online resource (XXIV, 640 S.)
De Gruyter Expositions in Mathematics ; 41
Full Text
Review text: "I strongly recommend the monograph to anyone who is interested in the modern theory of modules."(pruz) in: 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 in: 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
Biographical note: Rüdiger Göbel, University of Duisburg-Essen, Germany; Jan Trlifaj, Charles University, Prague, Czech Republic.
Main description: 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.