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.

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