Corings and comodules /:
This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects o...
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| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Cambridge ; New York :
Cambridge University Press,
2003.
|
| Series: | London Mathematical Society lecture note series ;
309. |
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| Summary: | This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids. |
| Physical Description: | 1 online resource (x, 476 pages) |
| Bibliography: | Includes bibliographical references (pages 457-469) and index. |
| ISBN: | 0511065620 9780511065620 0511067755 9780511067754 9780511546495 0511546491 9780521539319 0521539315 1280414804 9781280414800 |
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MARC
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| 245 | 1 | 0 | |a Corings and comodules / |c Tomasz Brzezinski, Robert Wisbauer. |
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| 490 | 1 | |a London Mathematical Society lecture note series ; |v 309 | |
| 504 | |a Includes bibliographical references (pages 457-469) and index. | ||
| 520 | |a This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids. | ||
| 505 | 0 | |a Cover; Series-title; Title; Copyright; Contents; Preface; Notations; Chapter 1 Coalgebras and comodules; Chapter 2 Bialgebras and Hopf algebras; Chapter 3 Corings and comodules; Chapter 4 Corings and extensions of rings; Chapter 5 Corings and entwining structures; Chapter 6 Weak corings and entwinings; Appendix; Bibliography; Index. | |
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| author | Brzezinski, Tomasz, 1966- |
| author2 | Wisbauer, Robert, 1941- |
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| contents | Cover; Series-title; Title; Copyright; Contents; Preface; Notations; Chapter 1 Coalgebras and comodules; Chapter 2 Bialgebras and Hopf algebras; Chapter 3 Corings and comodules; Chapter 4 Corings and extensions of rings; Chapter 5 Corings and entwining structures; Chapter 6 Weak corings and entwinings; Appendix; Bibliography; Index. |
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
| format | Electronic eBook |
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| indexdate | 2025-03-18T14:13:59Z |
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| isbn | 0511065620 9780511065620 0511067755 9780511067754 9780511546495 0511546491 9780521539319 0521539315 1280414804 9781280414800 |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Brzezinski, Tomasz, 1966- https://id.oclc.org/worldcat/entity/E39PCjt8VVvRPDhMXrMhw77pGd http://id.loc.gov/authorities/names/n2003007173 Corings and comodules / Tomasz Brzezinski, Robert Wisbauer. Cambridge ; New York : Cambridge University Press, 2003. 1 online resource (x, 476 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 309 Includes bibliographical references (pages 457-469) and index. This is the first extensive treatment of the theory of corings and their comodules. In the first part, the module-theoretic aspects of coalgebras over commutative rings are described. Corings are then defined as coalgebras over non-commutative rings. Topics covered include module-theoretic aspects of corings, such as the relation of comodules to special subcategories of the category of modules (sigma-type categories), connections between corings and extensions of rings, properties of new examples of corings associated to entwining structures, generalisations of bialgebras such as bialgebroids. Cover; Series-title; Title; Copyright; Contents; Preface; Notations; Chapter 1 Coalgebras and comodules; Chapter 2 Bialgebras and Hopf algebras; Chapter 3 Corings and comodules; Chapter 4 Corings and extensions of rings; Chapter 5 Corings and entwining structures; Chapter 6 Weak corings and entwinings; Appendix; Bibliography; Index. Print version record. Corings (Algebra) http://id.loc.gov/authorities/subjects/sh2003001053 Comodules. http://id.loc.gov/authorities/subjects/sh2003001058 Coanneaux (Algèbre) Comodules. MATHEMATICS Algebra Intermediate. bisacsh Comodules fast Corings (Algebra) fast Electronic books. Wisbauer, Robert, 1941- https://id.oclc.org/worldcat/entity/E39PCjHx7wBVG7KpBCYRbkJrWP http://id.loc.gov/authorities/names/nr89013749 has work: Corings and comodules (Text) https://id.oclc.org/worldcat/entity/E39PCGGy8xFhrVyDMk8Mwg4VP3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Brzezinski, Tomasz, 1966- Corings and comodules. Cambridge ; New York : Cambridge University Press, 2003 0521539315 (DLC) 2003046040 (OCoLC)51886449 London Mathematical Society lecture note series ; 309. http://id.loc.gov/authorities/names/n42015587 |
| spellingShingle | Brzezinski, Tomasz, 1966- Corings and comodules / London Mathematical Society lecture note series ; Cover; Series-title; Title; Copyright; Contents; Preface; Notations; Chapter 1 Coalgebras and comodules; Chapter 2 Bialgebras and Hopf algebras; Chapter 3 Corings and comodules; Chapter 4 Corings and extensions of rings; Chapter 5 Corings and entwining structures; Chapter 6 Weak corings and entwinings; Appendix; Bibliography; Index. Corings (Algebra) http://id.loc.gov/authorities/subjects/sh2003001053 Comodules. http://id.loc.gov/authorities/subjects/sh2003001058 Coanneaux (Algèbre) Comodules. MATHEMATICS Algebra Intermediate. bisacsh Comodules fast Corings (Algebra) fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh2003001053 http://id.loc.gov/authorities/subjects/sh2003001058 |
| title | Corings and comodules / |
| title_auth | Corings and comodules / |
| title_exact_search | Corings and comodules / |
| title_full | Corings and comodules / Tomasz Brzezinski, Robert Wisbauer. |
| title_fullStr | Corings and comodules / Tomasz Brzezinski, Robert Wisbauer. |
| title_full_unstemmed | Corings and comodules / Tomasz Brzezinski, Robert Wisbauer. |
| title_short | Corings and comodules / |
| title_sort | corings and comodules |
| topic | Corings (Algebra) http://id.loc.gov/authorities/subjects/sh2003001053 Comodules. http://id.loc.gov/authorities/subjects/sh2003001058 Coanneaux (Algèbre) Comodules. MATHEMATICS Algebra Intermediate. bisacsh Comodules fast Corings (Algebra) fast |
| topic_facet | Corings (Algebra) Comodules. Coanneaux (Algèbre) MATHEMATICS Algebra Intermediate. Comodules Electronic books. |
| work_keys_str_mv | AT brzezinskitomasz coringsandcomodules AT wisbauerrobert coringsandcomodules |