Verfügbarkeit: Reflectors and localization | Technische Universität München

Reflectors and localization: application to sheaf theory

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Bibliographische Detailangaben
Beteiligte Personen:	Van Oystaeyen, Freddy 1947- (VerfasserIn), Verschoren, Alain H. M. J. (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	New York [u.a.] Dekker 1979
Ausgabe:	1. print.
Schriftenreihe:	Lecture notes in pure and applied mathematics 41
Schlagwörter:	Lokalisationstheorie Nichtkommutativer Ring Garbentheorie Ringtheorie Funktor
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015334720&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	166 S.
ISBN:	0824768442

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Datensatz im Suchindex

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adam_text	CONTENTS INTRODUCTION 1 CHAPTER I. THE RING THEORETIC SCENERY 5 1.1. Localization of Rings and Modules 5 1.2. Special Kernel Functors 10 1.3. Construction of Certain (Pre) Sheaves of Rings and Modules 14 1.4. Fully Left Bounded Left Noetherian Classical Rings 21 1.5. Zariski Central Rings 25 CHAPTER II. REFLECTIONS ON REFLECTORS AND LOCALIZATION IN GROTHENDIECK CATEGORIES 37 11.1. Categorical Background 37 11.2. Localization in Grothendieck Categories 42 11.3. Giraud Subcategories of a Complete Grothendieck Category 51 11.4. Kernel Functors in Giraud Subcategories 55 11.5. The Main Example: Sheaves and Presheaves 65 11.6. Idempotent Filters 73 CHAPTER III. APPLICATION TO SHEAF THEORY 81 III.l (Pre) Sheaves of Rings and Modules of Quotients: Generalities 81 III. 2. Local Kernel Functors 83 III.3. Idempotent Filters 87 III. 4. Ring Objects of Quotients 89 III. 5. T Functors in R Ker 93 III.6. Pointwise Localization of Presheaves 99 III.7 Strictly Local Kernel Functors and Coherent Modules 119 Modules 119 CHAPTER IV. APPLICATIONS 133 IV.1. Kerneled Spaces 133 IV.2. Affine Schemes 137 IV.3. Schemes 149 APPENDIX ODDS AND ENDS 156 A.I. A Functor p: rr(R) » Ens 156 A.2. Weakly Flabby Sheaves 156 REFERENCES 161 SUBJECT INDEX 165
any_adam_object	1
author	Van Oystaeyen, Freddy 1947- Verschoren, Alain H. M. J.
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series	Lecture notes in pure and applied mathematics
series2	Lecture notes in pure and applied mathematics
spellingShingle	Van Oystaeyen, Freddy 1947- Verschoren, Alain H. M. J. Reflectors and localization application to sheaf theory Lecture notes in pure and applied mathematics Lokalisationstheorie (DE-588)4203492-9 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd Garbentheorie (DE-588)4155956-3 gnd Ringtheorie (DE-588)4126571-3 gnd Funktor (DE-588)4130706-9 gnd
subject_GND	(DE-588)4203492-9 (DE-588)4246997-1 (DE-588)4155956-3 (DE-588)4126571-3 (DE-588)4130706-9
title	Reflectors and localization application to sheaf theory
title_auth	Reflectors and localization application to sheaf theory
title_exact_search	Reflectors and localization application to sheaf theory
title_full	Reflectors and localization application to sheaf theory
title_fullStr	Reflectors and localization application to sheaf theory
title_full_unstemmed	Reflectors and localization application to sheaf theory
title_short	Reflectors and localization
title_sort	reflectors and localization application to sheaf theory
title_sub	application to sheaf theory
topic	Lokalisationstheorie (DE-588)4203492-9 gnd Nichtkommutativer Ring (DE-588)4246997-1 gnd Garbentheorie (DE-588)4155956-3 gnd Ringtheorie (DE-588)4126571-3 gnd Funktor (DE-588)4130706-9 gnd
topic_facet	Lokalisationstheorie Nichtkommutativer Ring Garbentheorie Ringtheorie Funktor
url	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015334720&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV005871364
work_keys_str_mv	AT vanoystaeyenfreddy reflectorsandlocalizationapplicationtosheaftheory AT verschorenalainhmj reflectorsandlocalizationapplicationtosheaftheory

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