Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings
Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings
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£115.00
GBPThis 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. In particular, during the past dozen or so years 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. By here collecting and unifying the basic results of these investigations with innovative and easily understandable proofs, the authors' aim is to provide an aid to further research in this central topic in abstract algebra, and a reference for all whose research lies in this field.
- Reference source/seminar material for ring and module theory
- Unifes recent research on equivalence and duality between categories of modules (with tilting and cotilting for rings)
- Innovative and easily understandable proofs
Reviews & endorsements
'This book of the well-known specialists represents a valuable study of a topical algebraic problem, it contains many important results, which can stimulate the subsequent development of this domain. With clear and accessible account, with all necessary proofs and various examples, this work is very useful both for study and research.' Zentralblatt MATH
Product details
May 2006Adobe eBook Reader
9780511189845
0 pages
0kg
This ISBN is for an eBook version which is distributed on our behalf by a third party.
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.
