Equivalence and Duality for Module Categories with Tilting and Cotilting for Rings
Book Details
Format
Hardback or Cased Book
Book Series
Cambridge Tracts in Mathematics
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
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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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