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Equivalence and duality for module categories : with tilting and cotilting for rings /

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 betwee...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Colby, Robert R. (Robert Ray), 1938-, Fuller, Kent R.
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2004.
Colección:Cambridge tracts in mathematics ; 161.
Temas:
Acceso en línea:Texto completo

MARC

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245 0 0 |a Equivalence and duality for module categories :  |b with tilting and cotilting for rings /  |c Robert R. Colby, Kent R. Fuller. 
260 |a Cambridge, UK ;  |a New York :  |b Cambridge University Press,  |c 2004. 
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490 1 |a Cambridge tracts in mathematics ;  |v 161 
504 |a Includes bibliographical references (pages 147-150) and index. 
505 0 |a Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings. 
588 0 |a Print version record. 
520 |a 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 a. 
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650 0 |a Modules (Algebra) 
650 0 |a Duality theory (Mathematics) 
650 6 |a Anneaux (Algèbre) 
650 6 |a Modules (Algèbre) 
650 6 |a Principe de dualité (Mathématiques) 
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700 1 |a Fuller, Kent R. 
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830 0 |a Cambridge tracts in mathematics ;  |v 161. 
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