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...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge
Cambridge University Press
2004
|
| Series: | Cambridge tracts in mathematics
161 |
| Subjects: | |
| Online Access: | BSB01 FHN01 UBR01 Volltext |
| 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 |
| Physical Description: | 1 Online-REssource (ix, 152 Seiten) |
| ISBN: | 9780511546518 |
| DOI: | 10.1017/CBO9780511546518 |
Staff View
MARC
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| 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 | 1 | 3 | |a Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 2004 | |
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| 490 | 0 | |a Cambridge tracts in mathematics |v 161 | |
| 505 | 8 | |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 | 4 | |a Rings (Algebra) | |
| 650 | 4 | |a Modules (Algebra) | |
| 650 | 4 | |a Duality theory (Mathematics) | |
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Record in the Search Index
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| any_adam_object | |
| author | Colby, Robert R. 1938- |
| author_GND | (DE-588)114653115X (DE-588)10810768X |
| author_facet | Colby, Robert R. 1938- |
| author_role | aut |
| author_sort | Colby, Robert R. 1938- |
| author_variant | r r c rr rrc |
| building | Verbundindex |
| bvnumber | BV043941740 |
| classification_rvk | SK 230 |
| collection | ZDB-20-CBO |
| contents | Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings |
| ctrlnum | (ZDB-20-CBO)CR9780511546518 (OCoLC)850372142 (DE-599)BVBBV043941740 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511546518 |
| format | Electronic eBook |
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| id | DE-604.BV043941740 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511546518 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350710 |
| oclc_num | 850372142 |
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| owner_facet | DE-12 DE-92 DE-355 DE-BY-UBR |
| physical | 1 Online-REssource (ix, 152 Seiten) |
| psigel | ZDB-20-CBO ZDB-20-CBO BSB_PDA_CBO ZDB-20-CBO FHN_PDA_CBO ZDB-20-CBO UBR Einzelkauf (Lückenergänzung CUP Serien 2018) |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | Cambridge tracts in mathematics |
| spelling | Colby, Robert R. 1938- Verfasser (DE-588)114653115X aut Equivalence and duality for module categories with tilting and cotilting for rings Robert R. Colby, Kent R. Fuller Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings Cambridge Cambridge University Press 2004 1 Online-REssource (ix, 152 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 161 Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial 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 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 Rings (Algebra) Modules (Algebra) Duality theory (Mathematics) Fuller, Kent R. 1938- Sonstige (DE-588)10810768X oth Erscheint auch als Druck-Ausgabe 978-0-521-83821-4 https://doi.org/10.1017/CBO9780511546518 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Colby, Robert R. 1938- Equivalence and duality for module categories with tilting and cotilting for rings Some module theoretic observations -- Representable equivalences -- Tilting modules -- Representable dualities -- Cotilting -- Adjoints and category equivalence -- Noetherian serial rings Rings (Algebra) Modules (Algebra) Duality theory (Mathematics) |
| title | Equivalence and duality for module categories with tilting and cotilting for rings |
| title_alt | Equivalence & Duality for Module Categories with Tilting & Cotilting for Rings |
| title_auth | Equivalence and duality for module categories with tilting and cotilting for rings |
| title_exact_search | Equivalence and duality for module categories with tilting and cotilting for rings |
| title_full | Equivalence and duality for module categories with tilting and cotilting for rings Robert R. Colby, Kent R. Fuller |
| title_fullStr | Equivalence and duality for module categories with tilting and cotilting for rings Robert R. Colby, Kent R. Fuller |
| title_full_unstemmed | Equivalence and duality for module categories with tilting and cotilting for rings Robert R. Colby, Kent R. Fuller |
| title_short | Equivalence and duality for module categories |
| title_sort | equivalence and duality for module categories with tilting and cotilting for rings |
| title_sub | with tilting and cotilting for rings |
| topic | Rings (Algebra) Modules (Algebra) Duality theory (Mathematics) |
| topic_facet | Rings (Algebra) Modules (Algebra) Duality theory (Mathematics) |
| url | https://doi.org/10.1017/CBO9780511546518 |
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