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

By:

Colby, Robert R

Contributor(s):

Fuller, Kent R [Co-Author]

Series: Cambridge tracts in mathematics, no. 161Publication details: Cambridge University Press, 2004. Cambridge:Description: ix, 152p.; hbk; 24cmISBN:

9780521838214

Subject(s):

DDC classification:

512.4 COL

Summary: 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. https://www.cambridge.org/core/books/equivalence-and-duality-for-module-categories-with-tilting-and-cotilting-for-rings/A9B183E439D20BBD46E29BC15828F4F2#fndtn-information

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar	General	512.4 COL (Browse shelf(Opens below))	1	Available		031763

Includes index and references

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.

https://www.cambridge.org/core/books/equivalence-and-duality-for-module-categories-with-tilting-and-cotilting-for-rings/A9B183E439D20BBD46E29BC15828F4F2#fndtn-information

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