Prime divisors and noncommutative valuation theory:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
2012
|
| Series: | Lecture notes in mathematics
2059 |
| Subjects: | |
| Online Access: | Inhaltstext Inhaltsverzeichnis |
| Physical Description: | IX, 218 S. 235 mm x 155 mm |
| ISBN: | 3642311512 9783642311512 |
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MARC
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Record in the Search Index
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| 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
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| dewey-ones | 512 - Algebra |
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| discipline | Mathematik |
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| indexdate | 2024-08-21T00:09:42Z |
| institution | BVB |
| isbn | 3642311512 9783642311512 |
| language | English |
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| physical | IX, 218 S. 235 mm x 155 mm |
| publishDate | 2012 |
| publishDateSearch | 2012 |
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| publisher | Springer |
| record_format | marc |
| series | Lecture notes in mathematics |
| series2 | Lecture notes in mathematics |
| spelling | Marubayashi, Hidetoshi Verfasser aut Prime divisors and noncommutative valuation theory Hidethoshi Marubayashi ; Fred van Oystaeyen Berlin [u.a.] Springer 2012 IX, 218 S. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 2059 Primdivisor (DE-588)4175703-8 gnd rswk-swf Bewertungstheorie (DE-588)4122918-6 gnd rswk-swf Nichtkommutative Algebra (DE-588)4304013-5 gnd rswk-swf Primdivisor (DE-588)4175703-8 s Bewertungstheorie (DE-588)4122918-6 s Nichtkommutative Algebra (DE-588)4304013-5 s DE-604 Van Oystaeyen, Freddy 1947- Verfasser (DE-588)128792884 aut Erscheint auch als Online-Ausgabe 978-3-642-31152-9 Lecture notes in mathematics 2059 (DE-604)BV000676446 2059 text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4044008&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf 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 Inhaltsverzeichnis |
| spellingShingle | Marubayashi, Hidetoshi Van Oystaeyen, Freddy 1947- Prime divisors and noncommutative valuation theory Lecture notes in mathematics Primdivisor (DE-588)4175703-8 gnd Bewertungstheorie (DE-588)4122918-6 gnd Nichtkommutative Algebra (DE-588)4304013-5 gnd |
| subject_GND | (DE-588)4175703-8 (DE-588)4122918-6 (DE-588)4304013-5 |
| 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 | Primdivisor (DE-588)4175703-8 gnd Bewertungstheorie (DE-588)4122918-6 gnd Nichtkommutative Algebra (DE-588)4304013-5 gnd |
| topic_facet | Primdivisor Bewertungstheorie Nichtkommutative Algebra |
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