Description |
1 online resource (ix, 152 pages). |
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data file |
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Bibliography |
Physical Medium |
polychrome |
Series |
Cambridge tracts in mathematics ; 161
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Cambridge tracts in mathematics ; 161.
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Bibliography |
Includes bibliographical references (pages 147-150) and index. |
Contents |
Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings. |
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 a. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Subject |
Rings (Algebra)
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Rings (Algebra) |
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Modules (Algebra)
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Modules (Algebra) |
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Duality theory (Mathematics)
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Duality theory (Mathematics) |
Genre/Form |
Electronic books.
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Electronic books.
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Added Author |
Colby, Robert R. (Robert Ray), 1938-
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Fuller, Kent R.
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Other Form: |
Print version: Equivalence and duality for module categories. Cambridge, UK ; New York : Cambridge University Press, 2004 (DLC) 2003066663 |
ISBN |
0511188005 |
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9780511188008 |
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0521838215 |
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9780521838214 |
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0511185316 (electronic book) |
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9780511185311 (electronic book) |
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0511186142 (electronic book) |
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9780511186141 (electronic book) |
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9780511546518 (electronic book) |
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0511546513 (electronic book) |
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9780511187070 |
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0511187076 |
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9786610458332 |
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6610458332 |
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