Lectures on unique factorization domains:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Bombay
Tata Institute of Fundamental Research
1964
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| Series: | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics
30 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 84, III Bl. |
Staff View
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| 245 | 1 | 0 | |a Lectures on unique factorization domains |c by P. Samuel. Notes by M. Pavman Murthy |
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Record in the Search Index
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|---|---|
| adam_text | C 0 N T E N T S
CHi PTER I Krull rings and factorial rin^
§ 1. Divisorial ideals ... ... ... i
§ 2. Divisors ... 2
§ 3. Krull rings ... 4
§ 4. Stability properties ... ... ... 9
§ 5. Two classes of Krull rings ... ... ... 13
§ 6. Divisor class groups ... ... ... 18
§ 7. .Applications of the theorem of Nagata ... ... 24
§ 8. Examples of factorial rings ... ... ... 31
§ 9. Power series over factorial rings ... ... 40
CHAPTER II Regular rin^s
§ 1. Regular local ring3 ... ... ... 45
g 2. Regular factorial ring3 ... ... ... 50
§ 3. The ring of restricted power series ... ... 51
CHAPTER III Dasoent. ..methods
§ 1. Galoisian descent ... ... ... 55
§ 2. The purely inseparable case ... ... ... 61
§ 3. Formulae concerning derivations ... ... 63
§ 4. Polynomial rings . ••• ••• ••• 65
§ 5. Power series rings ••• ••• ••• 69 .
APPENDIX The alternating group acting onc.a power series 76
ring
ERRiTA ••• ••• ••• 81
|
| any_adam_object | 1 |
| author | Bourbaki, Nicolas ca. 20. Jh.- |
| author_GND | (DE-588)140993142 |
| author_facet | Bourbaki, Nicolas ca. 20. Jh.- |
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| classification_rvk | SI 890 |
| ctrlnum | (OCoLC)247733 (DE-599)BVBBV004545837 |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004545837 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:14:06Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002797120 |
| oclc_num | 247733 |
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| owner_facet | DE-91G DE-BY-TUM DE-20 DE-19 DE-BY-UBM DE-703 DE-355 DE-BY-UBR DE-29T |
| physical | 84, III Bl. |
| publishDate | 1964 |
| publishDateSearch | 1964 |
| publishDateSort | 1964 |
| publisher | Tata Institute of Fundamental Research |
| record_format | marc |
| series2 | Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics |
| spelling | Bourbaki, Nicolas ca. 20. Jh.- Verfasser (DE-588)140993142 aut Lectures on unique factorization domains by P. Samuel. Notes by M. Pavman Murthy Bombay Tata Institute of Fundamental Research 1964 84, III Bl. txt rdacontent n rdamedia nc rdacarrier Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics / Mathematics 30 Anneaux (Mathématiques) Algebraic fields Factors (Algebra) Rings (Algebra) Krull-Ring (DE-588)4309218-4 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Ring Mathematik (DE-588)4128084-2 s DE-604 Krull-Ring (DE-588)4309218-4 s Mathematics Tata Institute of Fundamental Research <Bombay>: Tata Institute of Fundamental Research lectures on mathematics and physics 30 (DE-604)BV000015654 30 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797120&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Bourbaki, Nicolas ca. 20. Jh.- Lectures on unique factorization domains Anneaux (Mathématiques) Algebraic fields Factors (Algebra) Rings (Algebra) Krull-Ring (DE-588)4309218-4 gnd Ring Mathematik (DE-588)4128084-2 gnd |
| subject_GND | (DE-588)4309218-4 (DE-588)4128084-2 |
| title | Lectures on unique factorization domains |
| title_auth | Lectures on unique factorization domains |
| title_exact_search | Lectures on unique factorization domains |
| title_full | Lectures on unique factorization domains by P. Samuel. Notes by M. Pavman Murthy |
| title_fullStr | Lectures on unique factorization domains by P. Samuel. Notes by M. Pavman Murthy |
| title_full_unstemmed | Lectures on unique factorization domains by P. Samuel. Notes by M. Pavman Murthy |
| title_short | Lectures on unique factorization domains |
| title_sort | lectures on unique factorization domains |
| topic | Anneaux (Mathématiques) Algebraic fields Factors (Algebra) Rings (Algebra) Krull-Ring (DE-588)4309218-4 gnd Ring Mathematik (DE-588)4128084-2 gnd |
| topic_facet | Anneaux (Mathématiques) Algebraic fields Factors (Algebra) Rings (Algebra) Krull-Ring Ring Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002797120&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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| work_keys_str_mv | AT bourbakinicolas lecturesonuniquefactorizationdomains |