Prime divisors and noncommutative valuation theory:
Gespeichert in:
Beteiligte Personen: | , |
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Format: | Buch |
Sprache: | Englisch |
Veröffentlicht: |
Berlin [u.a.]
Springer
2012
|
Schriftenreihe: | Lecture notes in mathematics
2059 |
Schlagwörter: | |
Links: | http://deposit.dnb.de/cgi-bin/dokserv?id=4044008&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025268388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
Umfang: | IX, 218 S. 235 mm x 155 mm |
ISBN: | 3642311512 9783642311512 |
Internformat
MARC
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Datensatz im Suchindex
DE-BY-TUM_call_number | 0102 MAT 001z 2001 B 999-2059 |
---|---|
DE-BY-TUM_katkey | 1873870 |
DE-BY-TUM_location | 01 |
DE-BY-TUM_media_number | 040071420801 |
_version_ | 1821933896887959552 |
adam_text | IMAGE 1
CONTENTS
1 GENERAL THEORY O F PRIMES 1
1.1 PRIME PLACES OF ASSOCIATIVE RINGS 1
1.2 PRIMES IN ALGEBRAS 8
1.3 VALUE FUNCTIONS AND PRIME FILTRATION 19
1.4 DUBROVIN VALUATIONS 33
1.5 IDEAL THEORY OF DUBROVIN VALUATION RINGS 4 2
1.6 DUBROVIN VALUATION RINGS OF Q WITH FINITE DIMENSION OVER ITS CENTER
58
1.7 GAUSS EXTENSIONS 70
1.8 FILTRATIONS BY TOTALLY ORDERED GROUPS 88
1.9 REDUCTIONS O F ALGEBRAS AND FILTRATIONS 96
1.10 APPENDIX: GLOBAL DIMENSION AND REGULARITY OF REDUCTIONS 101
2 MAXIMAL ORDERS AND PRIMES 1 09
2.1 MAXIMAL ORDERS 109
2.2 KRULL ORDERS 115
2.3 ORE EXTENSIONS OVER KRULL ORDERS 132
2.4 NON-COMMUTATIVE VALUATION RINGS IN K { X A, 8) 144
2.5 ARITHMETICAL PSEUDOVALUATIONS AND DIVISORS 153
2.6 THE RIEMANN-ROCH THEOREM FOR CENTRAL SIMPLE ALGEBRAS OVER FUNCTION
FIELDS O F CURVES 164
3 EXTENSIONS O F VALUATIONS TO QUANTIZED ALGEBRAS 1 75
3.1 EXTENSION OF CENTRAL VALUATIONS 175
3.2 DISCRETE VALUATIONS ON THE WEYL SKEWFIELD 183
3.3 SOME DIVISOR THEORY FOR WEYL FIELDS OVER FUNCTION FIELDS 193
3.4 HOPF VALUATION FILTRATION 197
BIBLIOGRAPHY 213
INDEX 217
I X
HTTP://D-NB.INFO/1022534335
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any_adam_object | 1 |
author | Marubayashi, Hidetoshi Van Oystaeyen, Freddy 1947- |
author_GND | (DE-588)128792884 |
author_facet | Marubayashi, Hidetoshi Van Oystaeyen, Freddy 1947- |
author_role | aut aut |
author_sort | Marubayashi, Hidetoshi |
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building | Verbundindex |
bvnumber | BV040415516 |
classification_rvk | SI 850 |
ctrlnum | (OCoLC)812569591 (DE-599)DNB1022534335 |
dewey-full | 512.46 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.46 |
dewey-search | 512.46 |
dewey-sort | 3512.46 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
format | Book |
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id | DE-604.BV040415516 |
illustrated | Not Illustrated |
indexdate | 2024-12-20T16:14:36Z |
institution | BVB |
isbn | 3642311512 9783642311512 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025268388 |
oclc_num | 812569591 |
open_access_boolean | |
owner | DE-91G DE-BY-TUM DE-824 DE-83 DE-11 DE-188 |
owner_facet | DE-91G DE-BY-TUM DE-824 DE-83 DE-11 DE-188 |
physical | IX, 218 S. 235 mm x 155 mm |
publishDate | 2012 |
publishDateSearch | 2012 |
publishDateSort | 2012 |
publisher | Springer |
record_format | marc |
series | Lecture notes in mathematics |
series2 | Lecture notes in mathematics |
spellingShingle | Marubayashi, Hidetoshi Van Oystaeyen, Freddy 1947- Prime divisors and noncommutative valuation theory Lecture notes in mathematics Nichtkommutative Algebra (DE-588)4304013-5 gnd Primdivisor (DE-588)4175703-8 gnd Bewertungstheorie (DE-588)4122918-6 gnd |
subject_GND | (DE-588)4304013-5 (DE-588)4175703-8 (DE-588)4122918-6 |
title | Prime divisors and noncommutative valuation theory |
title_auth | Prime divisors and noncommutative valuation theory |
title_exact_search | Prime divisors and noncommutative valuation theory |
title_full | Prime divisors and noncommutative valuation theory Hidethoshi Marubayashi ; Fred van Oystaeyen |
title_fullStr | Prime divisors and noncommutative valuation theory Hidethoshi Marubayashi ; Fred van Oystaeyen |
title_full_unstemmed | Prime divisors and noncommutative valuation theory Hidethoshi Marubayashi ; Fred van Oystaeyen |
title_short | Prime divisors and noncommutative valuation theory |
title_sort | prime divisors and noncommutative valuation theory |
topic | Nichtkommutative Algebra (DE-588)4304013-5 gnd Primdivisor (DE-588)4175703-8 gnd Bewertungstheorie (DE-588)4122918-6 gnd |
topic_facet | Nichtkommutative Algebra Primdivisor Bewertungstheorie |
url | http://deposit.dnb.de/cgi-bin/dokserv?id=4044008&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025268388&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000676446 |
work_keys_str_mv | AT marubayashihidetoshi primedivisorsandnoncommutativevaluationtheory AT vanoystaeyenfreddy primedivisorsandnoncommutativevaluationtheory |
Inhaltsverzeichnis
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Teilbibliothek Mathematik & Informatik
Signatur: |
0102 MAT 001z 2001 B 999-2059 Lageplan |
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Exemplar 1 | Ausleihbar Am Standort |