Bounds on transfer principles for algebraically closed and complete discretely valued fields:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
1978
|
| Schriftenreihe: | American Mathematical Society: Memoirs of the American Mathematical Society
204 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Volume 15, Number 204 (end of volume) |
| Beschreibung: | IV, 92 S. graph. Darst. |
| ISBN: | 0821822047 |
Internformat
MARC
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| 264 | 1 | |a Providence, RI |c 1978 | |
| 300 | |a IV, 92 S. |b graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a American Mathematical Society: Memoirs of the American Mathematical Society |v 204 | |
| 500 | |a Volume 15, Number 204 (end of volume) | ||
| 650 | 4 | |a Algebraic fields | |
| 650 | 4 | |a Transfer functions | |
| 650 | 4 | |a Valued fields | |
| 650 | 4 | |a p-adic numbers | |
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Datensatz im Suchindex
| _version_ | 1804117968463855616 |
|---|---|
| adam_text | TABLE OF CONTENTS
Page
Numbers
Abstract ii
Table of Contents ¦ ill
Acknowledgements iv
I. Introduction 1
II. Prerequisites in Logic 3
III. Methods for Limitation of Quantifiers 5
IV. Additive Rational Numbers 9
V. Additive Integers 13
VI. Projection of a Set of Polynomials 19
VII. Real Numbers 27
VIII. Valued Fields 33
IX. Algebraically Closed Fields 35
X. Convergent Power Series Over Complete Algebraically Closed Valued Fields 43
XI. Hensel s Lemma 51
XII. Convergence of Series Solutions of Polynomials 57
XIII. Complete Discretely Valued Fields with Residue Class Field Zpand p Large 73
XIV. Applications to the Ax Kochen Transfer Principle and the Artin Conjecture 85
Bibliography 89
Notation 91
Index 92
|
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| author | Brown, Scott Shorey 1951- |
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| callnumber-first | Q - Science |
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| ctrlnum | (OCoLC)3913353 (DE-599)BVBBV003618023 |
| dewey-full | 510/.8 512/.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510/.8 512/.74 |
| dewey-search | 510/.8 512/.74 |
| dewey-sort | 3510 18 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T16:02:50Z |
| institution | BVB |
| isbn | 0821822047 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002304398 |
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| physical | IV, 92 S. graph. Darst. |
| psigel | TUB-www |
| publishDate | 1978 |
| publishDateSearch | 1978 |
| publishDateSort | 1978 |
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| series | American Mathematical Society: Memoirs of the American Mathematical Society |
| series2 | American Mathematical Society: Memoirs of the American Mathematical Society |
| spelling | Brown, Scott Shorey 1951- Verfasser (DE-588)172011019 aut Bounds on transfer principles for algebraically closed and complete discretely valued fields Scott Shorey Brown Providence, RI 1978 IV, 92 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier American Mathematical Society: Memoirs of the American Mathematical Society 204 Volume 15, Number 204 (end of volume) Algebraic fields Transfer functions Valued fields p-adic numbers Übergangsfunktion (DE-588)4186563-7 gnd rswk-swf Algebraischer Körper (DE-588)4141852-9 gnd rswk-swf Übertragungsfunktion (DE-588)4186647-2 gnd rswk-swf p-adischer Zahlkörper (DE-588)4173065-3 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Algebraischer Körper (DE-588)4141852-9 s Übergangsfunktion (DE-588)4186563-7 s p-adischer Zahlkörper (DE-588)4173065-3 s DE-604 Übertragungsfunktion (DE-588)4186647-2 s p-adische Zahl (DE-588)4044292-5 s American Mathematical Society: Memoirs of the American Mathematical Society 204 (DE-604)BV008000141 204 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002304398&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brown, Scott Shorey 1951- Bounds on transfer principles for algebraically closed and complete discretely valued fields American Mathematical Society: Memoirs of the American Mathematical Society Algebraic fields Transfer functions Valued fields p-adic numbers Übergangsfunktion (DE-588)4186563-7 gnd Algebraischer Körper (DE-588)4141852-9 gnd Übertragungsfunktion (DE-588)4186647-2 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| subject_GND | (DE-588)4186563-7 (DE-588)4141852-9 (DE-588)4186647-2 (DE-588)4173065-3 (DE-588)4044292-5 |
| title | Bounds on transfer principles for algebraically closed and complete discretely valued fields |
| title_auth | Bounds on transfer principles for algebraically closed and complete discretely valued fields |
| title_exact_search | Bounds on transfer principles for algebraically closed and complete discretely valued fields |
| title_full | Bounds on transfer principles for algebraically closed and complete discretely valued fields Scott Shorey Brown |
| title_fullStr | Bounds on transfer principles for algebraically closed and complete discretely valued fields Scott Shorey Brown |
| title_full_unstemmed | Bounds on transfer principles for algebraically closed and complete discretely valued fields Scott Shorey Brown |
| title_short | Bounds on transfer principles for algebraically closed and complete discretely valued fields |
| title_sort | bounds on transfer principles for algebraically closed and complete discretely valued fields |
| topic | Algebraic fields Transfer functions Valued fields p-adic numbers Übergangsfunktion (DE-588)4186563-7 gnd Algebraischer Körper (DE-588)4141852-9 gnd Übertragungsfunktion (DE-588)4186647-2 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | Algebraic fields Transfer functions Valued fields p-adic numbers Übergangsfunktion Algebraischer Körper Übertragungsfunktion p-adischer Zahlkörper p-adische Zahl |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002304398&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
| work_keys_str_mv | AT brownscottshorey boundsontransferprinciplesforalgebraicallyclosedandcompletediscretelyvaluedfields |