Valued fields:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
2005
|
| Schriftenreihe: | Springer monographs in mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | X, 205 S. |
| ISBN: | 354024221X 9783540242215 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804133618341117952 |
|---|---|
| adam_text | Contents
Introduction
1
1.1
1.2
1.3
2
2.1
2.2
2.2.1
2.2.2
2.2.3
2.3
2.4
2.5
3
3.1
3.2
3.3
3.4
3.5
4
4.1
4.2
4.3
4.4
4.5
X
5
5.1
5.2
5.3
5.4
5.5
6
6.1
6.2
6.3
A Ultraproducts of Valued Fields
B Classification of V-Topologies
References
Standard Notations
Index
Valued Fields
Absolute values and their completions
fields
generalization of absolute values to valuations made
applications in other branches of mathematics, such as algebraic
geometry, possible. In valuation theory, the notion of a
completion has to be replaced by that of the so-called
Henselization.
In this book, the theory of valuations as well as of
Henselizations is developed. The presentation is based on the
knowledge acquired in a standard graduate course in algebra.
The last chapter presents three applications of the general theory
-
-
|
| any_adam_object | 1 |
| author | Engler, Antonio J. Prestel, Alexander 1941-2024 |
| author_GND | (DE-588)117718777 |
| author_facet | Engler, Antonio J. Prestel, Alexander 1941-2024 |
| author_role | aut aut |
| author_sort | Engler, Antonio J. |
| author_variant | a j e aj aje a p ap |
| building | Verbundindex |
| bvnumber | BV020044665 |
| callnumber-first | Q - Science |
| callnumber-label | QA247 |
| callnumber-raw | QA247 |
| callnumber-search | QA247 |
| callnumber-sort | QA 3247 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 180 |
| ctrlnum | (OCoLC)60741641 (DE-599)BVBBV020044665 |
| dewey-full | 512.74 512/.3 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.74 512/.3 |
| dewey-search | 512.74 512/.3 |
| dewey-sort | 3512.74 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV020044665 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T20:11:35Z |
| institution | BVB |
| isbn | 354024221X 9783540242215 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-013365692 |
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| physical | X, 205 S. |
| publishDate | 2005 |
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| publishDateSort | 2005 |
| publisher | Springer |
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| series2 | Springer monographs in mathematics |
| spelling | Engler, Antonio J. Verfasser aut Valued fields Antonio J. Engler ; Alexander Prestel Berlin [u.a.] Springer 2005 X, 205 S. txt rdacontent n rdamedia nc rdacarrier Springer monographs in mathematics Corps valué rasuqam Théorie des valuations rasuqam Valued fields Bewerteter Körper (DE-588)4145184-3 gnd rswk-swf p-adischer Zahlkörper (DE-588)4173065-3 gnd rswk-swf Bewerteter Körper (DE-588)4145184-3 s DE-604 p-adischer Zahlkörper (DE-588)4173065-3 s b DE-604 Prestel, Alexander 1941-2024 Verfasser (DE-588)117718777 aut Digitalisierung UBPassau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013365692&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013365692&sequence=000002&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
| spellingShingle | Engler, Antonio J. Prestel, Alexander 1941-2024 Valued fields Corps valué rasuqam Théorie des valuations rasuqam Valued fields Bewerteter Körper (DE-588)4145184-3 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| subject_GND | (DE-588)4145184-3 (DE-588)4173065-3 |
| title | Valued fields |
| title_auth | Valued fields |
| title_exact_search | Valued fields |
| title_full | Valued fields Antonio J. Engler ; Alexander Prestel |
| title_fullStr | Valued fields Antonio J. Engler ; Alexander Prestel |
| title_full_unstemmed | Valued fields Antonio J. Engler ; Alexander Prestel |
| title_short | Valued fields |
| title_sort | valued fields |
| topic | Corps valué rasuqam Théorie des valuations rasuqam Valued fields Bewerteter Körper (DE-588)4145184-3 gnd p-adischer Zahlkörper (DE-588)4173065-3 gnd |
| topic_facet | Corps valué Théorie des valuations Valued fields Bewerteter Körper p-adischer Zahlkörper |
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