Categories of Boolean sheaves of simple algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin [u.a.]
Springer
1986
|
| Schriftenreihe: | Lecture notes in mathematics
1187 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VI, 168 S. |
| ISBN: | 3540164596 0387164596 |
Internformat
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Datensatz im Suchindex
| _version_ | 1805071477941207040 |
|---|---|
| adam_text |
CONTENTS
INTRODUCTION 1
CHAPTER 1 : CATEGORIES OF BOOLEAN SHEAVES OF ALGEBRAS 19
1.0. Locally finitely presentable categories 19
1.1. Locally indecomposable categories 19
1.2. Examples of locally indecomposable categories 20
1.3. The direct factors classifier 22
1.4. Finitely presentable objects 26
1.5. Indecomposable objects 27
1.6. Indecomposable components of an object 28
1.7. The indecomposable spectrum of an object and its
structural sheaf 30
1.8. Morphisms of locally indecomposable categories 34
1.9. Full locally indecomposable subcategories 37
1.10. Locally indecomposable categories of fractions 39
1.11. Locally indecomposable categories of algebras 42
1.12. Locally indecomposable categories of coalgebras for a
comonad 44
CHAPTER 2 : CATEGORIES OF BOOLEAN SHEAVES OF SIMPLE ALGEBRAS 48
2.1. Locally simple categories 48
2.2. Examples of locally simple categories 51
2.3. Locally simple categories of functors 53
2.4. The algebraic nature of locally simple categories 56
2.5. Equivalence relations on an object 59
2.6. The maximal spectrum of an object and its strutural
sheaf 61
2.7. Boolean sheaves of simple objects 63
2.8. Morphisms of locally simple categories 64
2.9. Monadic morphisms 66
2.10. Locally simple varieties 70
2.11. Locally simple algebraic theories 75
2.12. Totally separated boolean sheaves of algebras 78
2.13. Locally simple categories of coalgebras for a comonad 81
2.14. Continuous representation of profinite groups 84
2.15. Locally Noetherian locally simple categories 91
VI
2.16. Locally preGalois categories 99
2.17. Locally Galois categories 110
CHAPTER 3 : CATEGORIES OF LOCALLY BOOLEAN SHEAVES OF SIMPLE ALGEBRAS
114
3.1. Quasi locally simple categories 114
3.2. Quasi locally simple categories of augmented objects 119
3.3. Quasi locally simple categories of functors 123
3.4. Locally boolean sheaves of simple objects 124
3.5. Normal subobjects 129
3.6. Objects of finite type 137
3.7. Morphisms of quasi locally simple categories 142
3.8. The 2 equivalence between quasi locally simple
categories and locally simple categories 146
3.9. Representation of objects by locally boolean sheaves
of simple objects 148
3.10. Quasi locally simple monads 152
3.11. Quasi locally simple quotient categories 156
INDEX 161
REFERENCES 166 |
| any_adam_object | 1 |
| author | Diers, Yves |
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| discipline | Mathematik |
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| indexdate | 2024-07-20T04:38:27Z |
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| isbn | 3540164596 0387164596 |
| language | English |
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| physical | VI, 168 S. |
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| series2 | Lecture notes in mathematics |
| spelling | Diers, Yves Verfasser aut Categories of Boolean sheaves of simple algebras Yves Diers Berlin [u.a.] Springer 1986 VI, 168 S. txt rdacontent n rdamedia nc rdacarrier Lecture notes in mathematics 1187 Algèbre commutative Booleaanse algebra gtt Catégories (Mathématiques) Faisceaux, Théorie des Categories (Mathematics) Commutative algebra Sheaf theory Einfache Gruppe (DE-588)4123107-7 gnd rswk-swf Boolesche Garbe (DE-588)4523390-1 gnd rswk-swf Kategorie (DE-588)4131967-9 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Einfache algebraische Gruppe (DE-588)4151265-0 gnd rswk-swf Kategorie Mathematik (DE-588)4129930-9 s Boolesche Garbe (DE-588)4523390-1 s Kommutative Algebra (DE-588)4164821-3 s DE-604 Kategorie (DE-588)4131967-9 s Einfache Gruppe (DE-588)4123107-7 s Einfache algebraische Gruppe (DE-588)4151265-0 s Lecture notes in mathematics 1187 (DE-604)BV000676446 1187 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=000297101&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Diers, Yves Categories of Boolean sheaves of simple algebras Lecture notes in mathematics Algèbre commutative Booleaanse algebra gtt Catégories (Mathématiques) Faisceaux, Théorie des Categories (Mathematics) Commutative algebra Sheaf theory Einfache Gruppe (DE-588)4123107-7 gnd Boolesche Garbe (DE-588)4523390-1 gnd Kategorie (DE-588)4131967-9 gnd Kategorie Mathematik (DE-588)4129930-9 gnd Kommutative Algebra (DE-588)4164821-3 gnd Einfache algebraische Gruppe (DE-588)4151265-0 gnd |
| subject_GND | (DE-588)4123107-7 (DE-588)4523390-1 (DE-588)4131967-9 (DE-588)4129930-9 (DE-588)4164821-3 (DE-588)4151265-0 |
| title | Categories of Boolean sheaves of simple algebras |
| title_auth | Categories of Boolean sheaves of simple algebras |
| title_exact_search | Categories of Boolean sheaves of simple algebras |
| title_full | Categories of Boolean sheaves of simple algebras Yves Diers |
| title_fullStr | Categories of Boolean sheaves of simple algebras Yves Diers |
| title_full_unstemmed | Categories of Boolean sheaves of simple algebras Yves Diers |
| title_short | Categories of Boolean sheaves of simple algebras |
| title_sort | categories of boolean sheaves of simple algebras |
| topic | Algèbre commutative Booleaanse algebra gtt Catégories (Mathématiques) Faisceaux, Théorie des Categories (Mathematics) Commutative algebra Sheaf theory Einfache Gruppe (DE-588)4123107-7 gnd Boolesche Garbe (DE-588)4523390-1 gnd Kategorie (DE-588)4131967-9 gnd Kategorie Mathematik (DE-588)4129930-9 gnd Kommutative Algebra (DE-588)4164821-3 gnd Einfache algebraische Gruppe (DE-588)4151265-0 gnd |
| topic_facet | Algèbre commutative Booleaanse algebra Catégories (Mathématiques) Faisceaux, Théorie des Categories (Mathematics) Commutative algebra Sheaf theory Einfache Gruppe Boolesche Garbe Kategorie Kategorie Mathematik Kommutative Algebra Einfache algebraische Gruppe |
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