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

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

by Robert R. Colby, Kent R. Fuller
     
 

ISBN-10: 0521838215

ISBN-13: 9780521838214

Pub. Date: 04/30/2004

Publisher: Cambridge University Press

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. More recently, many authors (including the authors of this book) have investigated relationships between categories of modules over a pair of rings that are induced by both covariant and contravariant

Overview

This book provides a unified approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. More recently, many authors (including the authors of this book) have investigated 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. Collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors provide an aid to further research on this central topic in abstract algebra.

Product Details

ISBN-13:
9780521838214
Publisher:
Cambridge University Press
Publication date:
04/30/2004
Series:
Cambridge Tracts in Mathematics Series, #161
Pages:
162
Product dimensions:
5.98(w) x 8.98(h) x 0.67(d)

Table of Contents

0. Preface; 1. Some module theoretic observations; 2. Representable equivalences; 3. Tilting modules; 4. Representable dualities; 5. Cotilting; A. Adjoints and category equivalence; B. Noetherian serial rings.

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