Corings and comodules:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2003
|
| Schriftenreihe: | London Mathematical Society lecture note series
309 |
| Schlagworte: | |
| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | 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 |
| Beschreibung: | 1 Online-Ressource (x, 476 pages) |
| ISBN: | 0511065620 0511067755 0521539315 9780511065620 9780511067754 |
Internformat
MARC
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| 245 | 1 | 0 | |a Corings and comodules |c Tomasz Brzezinski, Robert Wisbauer |
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| 490 | 0 | |a London Mathematical Society lecture note series |v 309 | |
| 500 | |a Includes bibliographical references (pages 457-469) and index | ||
| 500 | |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 | ||
| 500 | |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 | ||
| 650 | 4 | |a Co-anneaux (Algèbre) | |
| 650 | 4 | |a Comodules | |
| 650 | 7 | |a MATHEMATICS / Algebra / Intermediate |2 bisacsh | |
| 650 | 7 | |a Comodules |2 fast | |
| 650 | 7 | |a Corings (Algebra) |2 fast | |
| 650 | 4 | |a Corings (Algebra) | |
| 650 | 4 | |a Comodules | |
| 650 | 0 | 7 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Koalgebra |0 (DE-588)4164324-0 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Modul |0 (DE-588)4129770-2 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Koalgebra |0 (DE-588)4164324-0 |D s |
| 689 | 0 | 1 | |a Ring |g Mathematik |0 (DE-588)4128084-2 |D s |
| 689 | 0 | 2 | |a Modul |0 (DE-588)4129770-2 |D s |
| 689 | 0 | |8 1\p |5 DE-604 | |
| 700 | 1 | |a Wisbauer, Robert |d 1941- |e Sonstige |0 (DE-588)108295044 |4 oth | |
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Datensatz im Suchindex
| _version_ | 1804175572109099008 |
|---|---|
| any_adam_object | |
| author | Brzeziński, Tomasz 1966- |
| author_GND | (DE-588)13561175X (DE-588)108295044 |
| author_facet | Brzeziński, Tomasz 1966- |
| author_role | aut |
| author_sort | Brzeziński, Tomasz 1966- |
| author_variant | t b tb |
| building | Verbundindex |
| bvnumber | BV043131898 |
| collection | ZDB-4-EBA |
| ctrlnum | (OCoLC)57218447 (DE-599)BVBBV043131898 |
| 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 |
| format | Electronic eBook |
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| id | DE-604.BV043131898 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:25Z |
| institution | BVB |
| isbn | 0511065620 0511067755 0521539315 9780511065620 9780511067754 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028556088 |
| oclc_num | 57218447 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (x, 476 pages) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2003 |
| publishDateSearch | 2003 |
| publishDateSort | 2003 |
| publisher | Cambridge University Press |
| record_format | marc |
| series2 | London Mathematical Society lecture note series |
| spelling | Brzeziński, Tomasz 1966- Verfasser (DE-588)13561175X aut Corings and comodules Tomasz Brzezinski, Robert Wisbauer Cambridge Cambridge University Press 2003 1 Online-Ressource (x, 476 pages) txt rdacontent c rdamedia 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 Co-anneaux (Algèbre) Comodules MATHEMATICS / Algebra / Intermediate bisacsh Comodules fast Corings (Algebra) fast Corings (Algebra) Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Koalgebra (DE-588)4164324-0 gnd rswk-swf Modul (DE-588)4129770-2 gnd rswk-swf Koalgebra (DE-588)4164324-0 s Ring Mathematik (DE-588)4128084-2 s Modul (DE-588)4129770-2 s 1\p DE-604 Wisbauer, Robert 1941- Sonstige (DE-588)108295044 oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=120682 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Brzeziński, Tomasz 1966- Corings and comodules Co-anneaux (Algèbre) Comodules MATHEMATICS / Algebra / Intermediate bisacsh Comodules fast Corings (Algebra) fast Corings (Algebra) Ring Mathematik (DE-588)4128084-2 gnd Koalgebra (DE-588)4164324-0 gnd Modul (DE-588)4129770-2 gnd |
| subject_GND | (DE-588)4128084-2 (DE-588)4164324-0 (DE-588)4129770-2 |
| 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 | Co-anneaux (Algèbre) Comodules MATHEMATICS / Algebra / Intermediate bisacsh Comodules fast Corings (Algebra) fast Corings (Algebra) Ring Mathematik (DE-588)4128084-2 gnd Koalgebra (DE-588)4164324-0 gnd Modul (DE-588)4129770-2 gnd |
| topic_facet | Co-anneaux (Algèbre) Comodules MATHEMATICS / Algebra / Intermediate Corings (Algebra) Ring Mathematik Koalgebra Modul |
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