Formally p-adic fields:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin, [u.a.]
Springer
1984
|
| Series: | Lecture notes in mathematics
1050 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Weitere Ausgabe: Monografias de matématica ; 38 |
| Physical Description: | IV, 167 Seiten |
| ISBN: | 3540128905 0387128905 |
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Record in the Search Index
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| adam_text |
Contents
§ 1. Introduction and motivation 1
§ 2. p-valuations 12
2.1 Definitions and examples 12
2.2 Some valuation theory 1 9
§ 3. p-adically closed fields 33
3.1 Characterization of p-adically closed fields 34
3.2 The Isomorphism Theorem for p-adic closures 48
§ 4. The General Embedding Theorem 62
4.1 Reductions of the theorem 63
4.2 Proof of the rational case 71
§ 5. Model theory of p-adically closed fields 83
§ 6. Formally p-adic fields 92
6.1 Characterization of formally p-adic fields 92
6.2 The Kochen ring 102
6.3 The Principal Ideal Theorem 117
§ 7. Function fields over p-adically closed fields 122
7.1 Existence of rational places 123
7.2 The holomorphy ring of a function field 134
7.3 Nullstellensatz and integral definite functions 142
Appendix 153
References 159
Notation index 161
Subject index 163 |
| any_adam_object | 1 |
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| id | DE-604.BV002169378 |
| illustrated | Not Illustrated |
| indexdate | 2024-10-07T12:00:43Z |
| institution | BVB |
| isbn | 3540128905 0387128905 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001424667 |
| oclc_num | 165677438 |
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| physical | IV, 167 Seiten |
| psigel | TUB-nvmb |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Prestel, Alexander 1941-2024 (DE-588)117718777 aut Formally p-adic fields Alexander Prestel ; Peter Roquette Berlin, [u.a.] Springer 1984 IV, 167 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1050 Weitere Ausgabe: Monografias de matématica ; 38 p-adischer Zahlkörper (DE-588)4173065-3 gnd rswk-swf p-adischer Zahlkörper (DE-588)4173065-3 s DE-604 Roquette, Peter 1927-2023 (DE-588)117719900 aut Erscheint auch als Online-Ausgabe 978-3-540-38768-8 Lecture notes in mathematics 1050 (DE-604)BV000676446 1050 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001424667&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Prestel, Alexander 1941-2024 Roquette, Peter 1927-2023 Formally p-adic fields Lecture notes in mathematics p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| subject_GND | (DE-588)4173065-3 |
| title | Formally p-adic fields |
| title_auth | Formally p-adic fields |
| title_exact_search | Formally p-adic fields |
| title_full | Formally p-adic fields Alexander Prestel ; Peter Roquette |
| title_fullStr | Formally p-adic fields Alexander Prestel ; Peter Roquette |
| title_full_unstemmed | Formally p-adic fields Alexander Prestel ; Peter Roquette |
| title_short | Formally p-adic fields |
| title_sort | formally p adic fields |
| topic | p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| topic_facet | p-adischer Zahlkörper |
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