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

Explore the intricate world of module categories with "Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings" by Robert R. Colby. Published by Cambridge University Press in 2004, this hardback edition spans 162 pages and offers a comprehensive examination of equivalence and duality theories that have evolved over the past 45 years.

Colby presents a unified and innovative perspective on the relationships between module categories over pairs of rings, emphasizing the role of both covariant and contravariant representable functors. This book delves into the significant concepts of tilting and cotilting theories, making it an essential resource for mathematicians and students interested in algebra, duality theory, and module theory.

Whether you're a seasoned researcher or a student eager to deepen your understanding of algebraic structures, this book is a valuable addition to your collection.