Equivalence and duality for module categories : with tilting and cotilting for rings
Author(s)
Bibliographic Information
Equivalence and duality for module categories : with tilting and cotilting for rings
（Cambridge tracts in mathematics, 161）
Cambridge University Press, 2004
- Other Title
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Equivalence and duality for module categories
Available at / 38 libraries
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
DC22:512.4/C6712080001797
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Note
Includes bibliographical references (p. 147-150) and index
Description and Table of Contents
Description
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. 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.
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.
by "Nielsen BookData"