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...
Saved in:
| Other Authors: | , |
|---|---|
| Format: | eBook |
| Language: | English |
| Published: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
|
| Series: | Cambridge tracts in mathematics ;
161. |
| Subjects: | |
| Online Access: | CONNECT CONNECT |
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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. | ||
| 300 | |a 1 online resource (ix, 152 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a data file |2 rda | ||
| 380 | |a Bibliography | ||
| 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. | ||
| 590 | |a EBSCO eBook Academic Comprehensive Collection North America | ||
| 650 | 0 | |a Rings (Algebra) | |
| 650 | 0 | |a Modules (Algebra) | |
| 650 | 0 | |a Duality theory (Mathematics) | |
| 700 | 1 | |a Colby, Robert R. |q (Robert Ray), |d 1938- | |
| 700 | 1 | |a Fuller, Kent R. | |
| 730 | 0 | |a WORLDSHARE SUB RECORDS | |
| 776 | 0 | 8 | |i Print version: |t Equivalence and duality for module categories. |d Cambridge, UK ; New York : Cambridge University Press, 2004 |w (DLC) 2003066663 |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 161. | |
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