Approximations and Endomorphism Algebras of Modules Volume 1 – Approximations / Volume 2 – Predictions

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.