Les corps non commutatifs:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | French |
| Published: |
Paris
Presses Univ. de France
1972
|
| Series: | Le mathématicien
9 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 135 S. |
Staff View
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Record in the Search Index
| _version_ | 1804117009190879232 |
|---|---|
| adam_text | TABLE DES MATIÈRES
Avant Propos 5
Chapitre I. — Exemples 7
1. Les quaternions réels 7
2. Une application arithmétique : le théorème des quatre
carrés 14
3. Les quaternions généralisés 18
Numéro 1, caractéristique différente de 2 18
Numéro 2, caractéristique 2 22
4. Exemple d un corps gauche de dimension 9 sur son
centre Q. 31
Chapitre II. — Préliminaires à la théorie générale des corps gauches 39
1. Modules simples et modules semi simples 39
2. Algèbres simples et algèbres semi simples 49
3. Produits tensoriels d algèbres 55
Chapitre III. — Théorie générale des corps gauches 66
1. Théorèmes fondamentaux 66
2. Groupe de Brauer; corps neutralisants 74
Appendice. Dimension diophantienne et groupe de Brauer 79
Chapitre IV. — Méthodes cohomologiques 85
1. Produits croisés 85
2. Groupes de cohomologie 89
3. Restriction et inflation 97
Numéro 1, la restriction 97
Numéro 2, l inflation 101
4. Cohomologie des groupes cycliques, première application 106
TABLE DES MATIÈRES 135
Chapitre V. — Groupe de Brauer des corps locaux 111
1. Corps locaux 111
2. Corps gauches de centre un corps local. Groupe de
Brauer d un corps local 123
Solution des exercices 1, 2 et 3 sur le paragraphe 3 du cha¬
pitre II 131
Bibliographie 133
|
| any_adam_object | 1 |
| author | Blanchard, André |
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| dewey-full | 512.3 |
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| dewey-search | 512.3 |
| dewey-sort | 3512.3 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik Philosophie |
| format | Book |
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:47:35Z |
| institution | BVB |
| language | French |
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| physical | 135 S. |
| publishDate | 1972 |
| publishDateSearch | 1972 |
| publishDateSort | 1972 |
| publisher | Presses Univ. de France |
| record_format | marc |
| series | Le mathématicien |
| series2 | Le mathématicien Collection Sup |
| spelling | Blanchard, André Verfasser aut Les corps non commutatifs André Blanchard Paris Presses Univ. de France 1972 135 S. txt rdacontent n rdamedia nc rdacarrier Le mathématicien 9 Collection Sup Corps algébriques Corps algébriques ram Algebraic fields Nichtkommutativer Körper gnd rswk-swf Nichtkommutativer Körper f DE-604 Le mathématicien 9 (DE-604)BV001888604 9 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686928&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Blanchard, André Les corps non commutatifs Le mathématicien Corps algébriques Corps algébriques ram Algebraic fields |
| title | Les corps non commutatifs |
| title_auth | Les corps non commutatifs |
| title_exact_search | Les corps non commutatifs |
| title_full | Les corps non commutatifs André Blanchard |
| title_fullStr | Les corps non commutatifs André Blanchard |
| title_full_unstemmed | Les corps non commutatifs André Blanchard |
| title_short | Les corps non commutatifs |
| title_sort | les corps non commutatifs |
| topic | Corps algébriques Corps algébriques ram Algebraic fields |
| topic_facet | Corps algébriques Algebraic fields Nichtkommutativer Körper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001686928&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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