Equivalence and duality for module categories : with tilting and cotilting for rings
著者
書誌事項
Equivalence and duality for module categories : with tilting and cotilting for rings
（Cambridge tracts in mathematics, 161）
Cambridge University Press, 2004
- タイトル別名
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Equivalence and duality for module categories
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注記
Includes bibliographical references (p. 147-150) and index
内容説明・目次
内容説明
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.
目次
- 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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