Corings and comodules:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge Univ. Press
2003
|
| Schriftenreihe: | London Mathematical Society lecture note series
309 |
| Schlagworte: | |
| Online-Zugang: | Publisher description Table of contents Inhaltsverzeichnis |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | X, 476 S. |
| ISBN: | 0521539315 |
Internformat
MARC
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| 245 | 1 | 0 | |a Corings and comodules |c Tomasz Brzezinski ; Robert Wisbauer |
| 264 | 1 | |a Cambridge |b Cambridge Univ. Press |c 2003 | |
| 300 | |a X, 476 S. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a London Mathematical Society lecture note series |v 309 | |
| 500 | |a Includes bibliographical references and index | ||
| 650 | 4 | |a Co-anneaux (Algèbre) | |
| 650 | 4 | |a Comodules | |
| 650 | 7 | |a Álgebra abstrata |2 larpcal | |
| 650 | 4 | |a Comodules | |
| 650 | 4 | |a Corings (Algebra) | |
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| 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 |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-010282396 | ||
Datensatz im Suchindex
| _version_ | 1804129935978135552 |
|---|---|
| adam_text | Contents
Preface vii
Notations xi
1 Coalgebras and comodules 1
1 Coalgebras 1
2 Coalgebra morphisms 8
3 Comodules 20
4 C comodules and C* modules 41
5 The finite dual of an algebra 55
6 Annihilators and bilinear forms 62
7 The rational functor 66
8 Structure of comodules 75
9 Coalgebras over QF rings 80
10 Cotensor product of comodules 93
11 Bicomodules 101
12 Functors between comodule categories 110
2 Bialgebras and Hopf algebras 129
13 Bialgebras 129
14 Hopf modules 134
15 Hopf algebras 144
16 Trace ideal and integrals for Hopf algebras 158
3 Corings and comodules 169
17 Corings and their morphisms 170
18 Comodules over corings 180
19 C comodules and C* modules 195
20 The rational functor for corings 212
21 Cotensor product over corings 217
22 Bicomodules over corings 223
23 Functors between comodule categories 230
24 The category of corings 240
4 Corings and extensions of rings 251
25 Canonical corings and ring extensions 251
26 Coseparable and cosplit corings 256
27 Frobenius extensions and corings 264
28 Corings with a grouplike element 276
v
vi
29 Amitsur complex and connections 288
30 Cartier and Hochschild cohomology 299
31 Bialgebroids 308
5 Corings and entwining structures 323
32 Entwining structures and corings 323
33 Entwinings and Hopf type modules 335
34 Entwinings and Galois type extensions 342
6 Weak corings and entwinings 357
35 Weak corings 357
36 Weak bialgebras 366
37 Weak entwining structures 382
Appendix 395
38 Categories and functors 395
39 Modules and Abelian categories 409
40 Algebras over commutative rings 416
41 The category a[M] 425
42 Torsion theoretic aspects 435
43 Cogenerating and generating conditions 445
44 Decompositions of a[M] 451
Bibliography 457
Index 471
|
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| classification_tum | MAT 160f |
| ctrlnum | (OCoLC)51886449 (DE-599)BVBBV017038638 |
| 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 | Book |
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| id | DE-604.BV017038638 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:13:03Z |
| institution | BVB |
| isbn | 0521539315 |
| language | English |
| lccn | 2003046040 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-010282396 |
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| physical | X, 476 S. |
| publishDate | 2003 |
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| publisher | Cambridge Univ. Press |
| record_format | marc |
| series | London Mathematical Society lecture note series |
| 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 Univ. Press 2003 X, 476 S. txt rdacontent n rdamedia nc rdacarrier London Mathematical Society lecture note series 309 Includes bibliographical references and index Co-anneaux (Algèbre) Comodules Álgebra abstrata larpcal Corings (Algebra) Modul (DE-588)4129770-2 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Koalgebra (DE-588)4164324-0 gnd rswk-swf Koalgebra (DE-588)4164324-0 s Ring Mathematik (DE-588)4128084-2 s Modul (DE-588)4129770-2 s DE-604 Wisbauer, Robert 1941- Sonstige (DE-588)108295044 oth London Mathematical Society lecture note series 309 (DE-604)BV000000130 309 http://www.loc.gov/catdir/description/cam032/2003046040.html Publisher description http://www.loc.gov/catdir/toc/cam031/2003046040.html Table of contents HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=010282396&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brzeziński, Tomasz 1966- Corings and comodules London Mathematical Society lecture note series Co-anneaux (Algèbre) Comodules Álgebra abstrata larpcal Corings (Algebra) Modul (DE-588)4129770-2 gnd Ring Mathematik (DE-588)4128084-2 gnd Koalgebra (DE-588)4164324-0 gnd |
| subject_GND | (DE-588)4129770-2 (DE-588)4128084-2 (DE-588)4164324-0 |
| 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 Álgebra abstrata larpcal Corings (Algebra) Modul (DE-588)4129770-2 gnd Ring Mathematik (DE-588)4128084-2 gnd Koalgebra (DE-588)4164324-0 gnd |
| topic_facet | Co-anneaux (Algèbre) Comodules Álgebra abstrata Corings (Algebra) Modul Ring Mathematik Koalgebra |
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| volume_link | (DE-604)BV000000130 |
| work_keys_str_mv | AT brzezinskitomasz coringsandcomodules AT wisbauerrobert coringsandcomodules |