Localization and sheaves: a relative point of view
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Harlow, Essex
Longman
1995
|
| Ausgabe: | 1. publ. |
| Schriftenreihe: | Pitman research notes in mathematics series
339 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | 235 S. |
| ISBN: | 0582273722 |
Internformat
MARC
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| 100 | 1 | |a Jara, Pascual |d um 1848 |e Verfasser |0 (DE-588)118089250 |4 aut | |
| 245 | 1 | 0 | |a Localization and sheaves |b a relative point of view |c Pascual Jara, Alain Verschoren and Conchi Vidal |
| 250 | |a 1. publ. | ||
| 264 | 1 | |a Harlow, Essex |b Longman |c 1995 | |
| 300 | |a 235 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Pitman research notes in mathematics series |v 339 | |
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| 650 | 0 | 7 | |a Ringtheorie |0 (DE-588)4126571-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Lokalisation |g Mathematik |0 (DE-588)4203486-3 |2 gnd |9 rswk-swf |
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| 689 | 0 | 2 | |a Lokalisation |g Mathematik |0 (DE-588)4203486-3 |D s |
| 689 | 0 | |5 DE-604 | |
| 689 | 1 | 0 | |a Algebraischer Ring |0 (DE-588)4141855-4 |D s |
| 689 | 1 | 1 | |a Lokalisation |g Mathematik |0 (DE-588)4203486-3 |D s |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-007106148 | ||
Datensatz im Suchindex
| _version_ | 1804125125469011968 |
|---|---|
| adam_text | Contents
Introduction
1. Grothendieck Categories 1
1. Abelian categories 1
2. Grothendieck categories 11
2. Torsion in Grothendieck categories 23
3. Localization in Grothendieck categories 33
1. The localization functor 33
2. An alternative approach 40
3. Reflective subcategories 45
4. Gabriel filters 51
5. Localization in module categories 67
1. Generalities 67
2. Symmetric localization 74
3. Finiteness conditions 76
6. Compatibility 85
1. Compatibility in Grothendieck categories 85
2. Compatibility in module categories 94
7. Stability 97
1. Stability in Grothendieck categories 97
2. Stability in module categories 104
8. Reflecting torsion 113
1. Generalities 113
2. Locally symmetric radicals 119
9. The relative Artin Rees condition 125
lO.Relative fully bounded rings 137
1. Associated primes 137
2. Gabriel s condition (H) 145
11. Classical localization 153
1. The relative second layer condition 153
2. Affiliated submodules 161
3. The Artin Rees property revisited 165
4. Relative Ore sets 167
12.Structure sheaves 175
1. Topologies and sheaves 175
2. The symmetric case 179
3. The classical case 185
4. The general case 190
13.Functorial behaviour 201
1. Topological aspects 201
2. The symmetric case 205
3. The classical case. 217
Bibliography 225
Index 233
|
| any_adam_object | 1 |
| author | Jara, Pascual um 1848 Verschoren, Alain H. M. J. Vidal, Conchi |
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| building | Verbundindex |
| bvnumber | BV010648537 |
| classification_rvk | SI 880 SK 300 |
| classification_tum | MAT 147f MAT 327f |
| ctrlnum | (OCoLC)246852454 (DE-599)BVBBV010648537 |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| id | DE-604.BV010648537 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T17:56:35Z |
| institution | BVB |
| isbn | 0582273722 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007106148 |
| oclc_num | 246852454 |
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| owner_facet | DE-12 DE-739 DE-355 DE-BY-UBR DE-91G DE-BY-TUM DE-11 |
| physical | 235 S. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Longman |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Jara, Pascual um 1848 Verfasser (DE-588)118089250 aut Localization and sheaves a relative point of view Pascual Jara, Alain Verschoren and Conchi Vidal 1. publ. Harlow, Essex Longman 1995 235 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 339 Garbentheorie (DE-588)4155956-3 gnd rswk-swf Ringtheorie (DE-588)4126571-3 gnd rswk-swf Lokalisation Mathematik (DE-588)4203486-3 gnd rswk-swf Algebraischer Ring (DE-588)4141855-4 gnd rswk-swf Ringtheorie (DE-588)4126571-3 s Garbentheorie (DE-588)4155956-3 s Lokalisation Mathematik (DE-588)4203486-3 s DE-604 Algebraischer Ring (DE-588)4141855-4 s Verschoren, Alain H. M. J. Verfasser aut Vidal, Conchi Verfasser aut Pitman research notes in mathematics series 339 (DE-604)BV000022845 339 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007106148&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jara, Pascual um 1848 Verschoren, Alain H. M. J. Vidal, Conchi Localization and sheaves a relative point of view Pitman research notes in mathematics series Garbentheorie (DE-588)4155956-3 gnd Ringtheorie (DE-588)4126571-3 gnd Lokalisation Mathematik (DE-588)4203486-3 gnd Algebraischer Ring (DE-588)4141855-4 gnd |
| subject_GND | (DE-588)4155956-3 (DE-588)4126571-3 (DE-588)4203486-3 (DE-588)4141855-4 |
| title | Localization and sheaves a relative point of view |
| title_auth | Localization and sheaves a relative point of view |
| title_exact_search | Localization and sheaves a relative point of view |
| title_full | Localization and sheaves a relative point of view Pascual Jara, Alain Verschoren and Conchi Vidal |
| title_fullStr | Localization and sheaves a relative point of view Pascual Jara, Alain Verschoren and Conchi Vidal |
| title_full_unstemmed | Localization and sheaves a relative point of view Pascual Jara, Alain Verschoren and Conchi Vidal |
| title_short | Localization and sheaves |
| title_sort | localization and sheaves a relative point of view |
| title_sub | a relative point of view |
| topic | Garbentheorie (DE-588)4155956-3 gnd Ringtheorie (DE-588)4126571-3 gnd Lokalisation Mathematik (DE-588)4203486-3 gnd Algebraischer Ring (DE-588)4141855-4 gnd |
| topic_facet | Garbentheorie Ringtheorie Lokalisation Mathematik Algebraischer Ring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007106148&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000022845 |
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