Valuations of skew fields and projective Hjelmslev spaces:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin ; Heidelberg ; New York ; Tokyo
Springer-Verlag
[1986]
|
| Schriftenreihe: | Lecture notes in mathematics
1175 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | IV, 115 Seiten |
| ISBN: | 354016099X 038716099X 9783540160991 9783540397649 |
Internformat
MARC
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| 100 | 1 | |a Mathiak, Karl |d 1936- |0 (DE-588)172251761 |4 aut | |
| 245 | 1 | 0 | |a Valuations of skew fields and projective Hjelmslev spaces |c Karl Mathiak |
| 264 | 1 | |a Berlin ; Heidelberg ; New York ; Tokyo |b Springer-Verlag |c [1986] | |
| 264 | 4 | |c © 1986 | |
| 300 | |a IV, 115 Seiten | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Lecture notes in mathematics |v 1175 | |
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| 650 | 7 | |a Corps gauches |2 ram | |
| 650 | 4 | |a Hjelmslev, Plans de | |
| 650 | 7 | |a Hjelmslev, plans de |2 ram | |
| 650 | 4 | |a Hjelmslev planes | |
| 650 | 4 | |a Skew fields | |
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Datensatz im Suchindex
| _version_ | 1805071478949937152 |
|---|---|
| adam_text |
CONTENTS
page
Preface
Terminology
Chapter 1 Valuations of fields
1. Valuation rings 1
2. Valuations 5
3. The ideal structure of a valuation ring 10
4. Examples of non invariant valuations 13
Chapter 2 Valuation topologies and the approximation theorem
5. V topologies 30
6. Topologies induced by valuations 34
7. The intersection of a finite number of valuation rings 38
8. Independence of valuations 45
Chapter 3 Valued vector spaces
9. Normed vector spaces 51
10. Valued vector spaces 56
11. Finitely generated B modules 60
12. The I hull and the I kernel of a submodule 69
Chapter 4 Protective Hjelmslev spaces
13. Definition of the projective Hjelmslev spaces Hj 75
14. The union and intersection sets in Hj 80
15. Some further properties of valuation rings 85
16. Uniqueness in Hj 87
Appendix Locally invariant valuations by J. Graeter 94
Solutions 102
References 112
Index 116 |
| any_adam_object | 1 |
| author | Mathiak, Karl 1936- |
| author_GND | (DE-588)172251761 |
| author_facet | Mathiak, Karl 1936- |
| author_role | aut |
| author_sort | Mathiak, Karl 1936- |
| author_variant | k m km |
| building | Verbundindex |
| bvnumber | BV000562498 |
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| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 850 |
| classification_tum | MAT 166f MAT 127f |
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| dewey-full | 512/.74 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra 510 - Mathematics |
| dewey-raw | 512/.74 510 |
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| dewey-sort | 3512 274 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV000562498 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-20T04:38:28Z |
| institution | BVB |
| isbn | 354016099X 038716099X 9783540160991 9783540397649 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-000346584 |
| oclc_num | 230835827 |
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| physical | IV, 115 Seiten |
| publishDate | 1986 |
| publishDateSearch | 1986 |
| publishDateSort | 1986 |
| publisher | Springer-Verlag |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Mathiak, Karl 1936- (DE-588)172251761 aut Valuations of skew fields and projective Hjelmslev spaces Karl Mathiak Berlin ; Heidelberg ; New York ; Tokyo Springer-Verlag [1986] © 1986 IV, 115 Seiten txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1175 Corps algébriques Corps gauches ram Hjelmslev, Plans de Hjelmslev, plans de ram Hjelmslev planes Skew fields Bewerteter Schiefkörper (DE-588)4316899-1 gnd rswk-swf Projektiver Hjelmslev-Raum (DE-588)4123989-1 gnd rswk-swf Bewertung (DE-588)4006340-9 gnd rswk-swf Schiefkörper (DE-588)4052359-7 gnd rswk-swf Bewerteter Schiefkörper (DE-588)4316899-1 s Projektiver Hjelmslev-Raum (DE-588)4123989-1 s DE-604 Schiefkörper (DE-588)4052359-7 s Bewertung (DE-588)4006340-9 s Erscheint auch als Online-Ausgabe 978-3-540-16099-1 Lecture notes in mathematics 1175 (DE-604)BV000676446 1175 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000346584&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Mathiak, Karl 1936- Valuations of skew fields and projective Hjelmslev spaces Lecture notes in mathematics Corps algébriques Corps gauches ram Hjelmslev, Plans de Hjelmslev, plans de ram Hjelmslev planes Skew fields Bewerteter Schiefkörper (DE-588)4316899-1 gnd Projektiver Hjelmslev-Raum (DE-588)4123989-1 gnd Bewertung (DE-588)4006340-9 gnd Schiefkörper (DE-588)4052359-7 gnd |
| subject_GND | (DE-588)4316899-1 (DE-588)4123989-1 (DE-588)4006340-9 (DE-588)4052359-7 |
| title | Valuations of skew fields and projective Hjelmslev spaces |
| title_auth | Valuations of skew fields and projective Hjelmslev spaces |
| title_exact_search | Valuations of skew fields and projective Hjelmslev spaces |
| title_full | Valuations of skew fields and projective Hjelmslev spaces Karl Mathiak |
| title_fullStr | Valuations of skew fields and projective Hjelmslev spaces Karl Mathiak |
| title_full_unstemmed | Valuations of skew fields and projective Hjelmslev spaces Karl Mathiak |
| title_short | Valuations of skew fields and projective Hjelmslev spaces |
| title_sort | valuations of skew fields and projective hjelmslev spaces |
| topic | Corps algébriques Corps gauches ram Hjelmslev, Plans de Hjelmslev, plans de ram Hjelmslev planes Skew fields Bewerteter Schiefkörper (DE-588)4316899-1 gnd Projektiver Hjelmslev-Raum (DE-588)4123989-1 gnd Bewertung (DE-588)4006340-9 gnd Schiefkörper (DE-588)4052359-7 gnd |
| topic_facet | Corps algébriques Corps gauches Hjelmslev, Plans de Hjelmslev, plans de Hjelmslev planes Skew fields Bewerteter Schiefkörper Projektiver Hjelmslev-Raum Bewertung Schiefkörper |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000346584&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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