Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings

This book provides a unified and innovative approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. The authors discuss the relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant representable functors in particular by tilting and cotilting theories.