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

Book Details

Format Hardback or Cased Book
ISBN-10 0521838215
ISBN-13 9780521838214
Publisher Cambridge University Press
Imprint Cambridge University Press
Country of Manufacture US
Country of Publication GB
Publication Date Mar 22nd, 2004
Print length 162 Pages
Weight 385 grams
Dimensions 23.40 x 16.00 x 1.70 cms
Product Classification: Algebra
Ksh 21,800.00
Manufactured on Demand 0 in stock

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This book provides a unified and innovative approach to much of the theories of equivalence and duality between categories of modules that has transpired over the last 45 years. The authors discuss the 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.
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.

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