Equivalence and duality for module categories : with tilting and cotilting for rings / Robert R. Colby, Kent R. Fuller.
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...
| Main Authors: | |
|---|---|
| Language: | English |
| Published: |
Cambridge :
Cambridge University Press,
2004.
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| Series: | Cambridge tracts in mathematics ;
161. |
| Subjects: | |
| Online Access: | |
| Physical Description: | 1 online resource (ix, 152 pages) : digital, PDF file(s). |
| Variant Title: |
Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings. |
| Format: | Electronic eBook |
MARC
| LEADER | 00000nam a22000008i 4500 | ||
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| 100 | 1 | |a Colby, Robert R. |q (Robert Ray), |d 1938- |e author. |0 http://id.loc.gov/authorities/names/n2003016648 | |
| 245 | 1 | 0 | |a Equivalence and duality for module categories : |b with tilting and cotilting for rings / |c Robert R. Colby, Kent R. Fuller. |
| 246 | 3 | |a Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings. | |
| 264 | 1 | |a Cambridge : |b Cambridge University Press, |c 2004. | |
| 300 | |a 1 online resource (ix, 152 pages) : |b digital, PDF file(s). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Cambridge tracts in mathematics ; |v 161 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015). | ||
| 505 | 0 | |a Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings. | |
| 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 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. | ||
| 650 | 0 | |a Rings (Algebra) |0 http://id.loc.gov/authorities/subjects/sh85114140 | |
| 650 | 0 | |a Modules (Algebra) |0 http://id.loc.gov/authorities/subjects/sh85086470 | |
| 650 | 0 | |a Duality theory (Mathematics) |0 http://id.loc.gov/authorities/subjects/sh85039851 | |
| 700 | 1 | |a Fuller, Kent R., |e author. |0 http://id.loc.gov/authorities/names/n91060102 | |
| 776 | 0 | 8 | |i Print version: |a Colby, Robert R. (Robert Ray), 1938- |t Equivalence and duality for module categories |z 9780521838214. |
| 830 | 0 | |a Cambridge tracts in mathematics ; |v 161. |0 http://id.loc.gov/authorities/names/n42005726 | |
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