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Localization and sheaves: a relative point of view

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Bibliographische Detailangaben
Beteiligte Personen:	Jara, Pascual um 1848 (VerfasserIn), Verschoren, Alain H. M. J. (VerfasserIn), Vidal, Conchi (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Harlow, Essex Longman 1995
Ausgabe:	1. publ.
Schriftenreihe:	Pitman research notes in mathematics series 339
Schlagwörter:	Garbentheorie Ringtheorie Lokalisation > Mathematik Algebraischer Ring
Links:	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
Umfang:	235 S.
ISBN:	0582273722

Internformat

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Datensatz im Suchindex

DE-BY-TUM_call_number	0102 MAT 147f 2001 A 19321
DE-BY-TUM_katkey	776667
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DE-BY-TUM_media_number	040020480884
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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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isbn	0582273722
language	English
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series	Pitman research notes in mathematics series
series2	Pitman research notes in mathematics series
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
work_keys_str_mv	AT jarapascual localizationandsheavesarelativepointofview AT verschorenalainhmj localizationandsheavesarelativepointofview AT vidalconchi localizationandsheavesarelativepointofview

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Signatur:	0102 MAT 147f 2001 A 19321 Lageplan
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