Quantales and their applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Harlow, Essex
Longman Scientific & Technical
1990
|
| Edition: | 1. publ. |
| Series: | Pitman research notes in mathematics series
234 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | 165 S. |
| ISBN: | 0582064236 |
Staff View
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| 100 | 1 | |a Rosenthal, Kimmo I. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Quantales and their applications |c Kimmo I. Rosenthal |
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| 264 | 1 | |a Harlow, Essex |b Longman Scientific & Technical |c 1990 | |
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Record in the Search Index
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| adam_text | Contents
INTRODUCTION
Chapter One: PRELIMINARIES
§1. Sup lattices 1
§2. Frames 4
Chapter Two: QUANTALES
§1. Basic definitions and properties 14
§2. Examples 17
§3. Morphisms of quantales 22
§4. Variations on the notion of quantale 26
Chapter Three: QUOTIENT QUANTALES AND SUBQUANTALES
§1. Quantic nuclei and conuclei 29
§2. Examples of quantic quotients 35
§3. More examples of quantic nuclei 45
§4. Examples of subquantales 50
Chapter Four: QUANTALES AND THE IDEAL THEORY OF RINGS
§1. Algebraic and coherent quantales 56
§2. Spectrum constructions 64
§3. Algebraic de Morgan s laws 67
§4. Essential primes and irredundant prime decompositions 75
§5. Componental nuclei 83
§6. Quantales of sheaves of ideals 95
Chapter Five: IDEMPOTENT RIGHT SIDED QUANTALES
§1. Basic properties 104
§2. Prime and primitive elements 112
§3. Applications to C* algebras 117
§4. Quantum frames 125
§5. Sheaves on an idempotent, right sided quantale 133
Chapter Six: GIRARD QUANTALES AND LINEAR LOGIC
§1. Girard quantales 139
§2. The phase semantics of linear logic 148
REFERENCES 157
INDEX 164
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| author_facet | Rosenthal, Kimmo I. |
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| id | DE-604.BV004250165 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:10:26Z |
| institution | BVB |
| isbn | 0582064236 |
| language | English |
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| physical | 165 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | Longman Scientific & Technical |
| record_format | marc |
| series | Pitman research notes in mathematics series |
| series2 | Pitman research notes in mathematics series |
| spelling | Rosenthal, Kimmo I. Verfasser aut Quantales and their applications Kimmo I. Rosenthal 1. publ. Harlow, Essex Longman Scientific & Technical 1990 165 S. txt rdacontent n rdamedia nc rdacarrier Pitman research notes in mathematics series 234 Kategorientheorie (DE-588)4120552-2 gnd rswk-swf Geordnete algebraische Struktur (DE-588)4156743-2 gnd rswk-swf Geordnete algebraische Struktur (DE-588)4156743-2 s DE-604 Kategorientheorie (DE-588)4120552-2 s Pitman research notes in mathematics series 234 (DE-604)BV000022845 234 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002643973&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Rosenthal, Kimmo I. Quantales and their applications Pitman research notes in mathematics series Kategorientheorie (DE-588)4120552-2 gnd Geordnete algebraische Struktur (DE-588)4156743-2 gnd |
| subject_GND | (DE-588)4120552-2 (DE-588)4156743-2 |
| title | Quantales and their applications |
| title_auth | Quantales and their applications |
| title_exact_search | Quantales and their applications |
| title_full | Quantales and their applications Kimmo I. Rosenthal |
| title_fullStr | Quantales and their applications Kimmo I. Rosenthal |
| title_full_unstemmed | Quantales and their applications Kimmo I. Rosenthal |
| title_short | Quantales and their applications |
| title_sort | quantales and their applications |
| topic | Kategorientheorie (DE-588)4120552-2 gnd Geordnete algebraische Struktur (DE-588)4156743-2 gnd |
| topic_facet | Kategorientheorie Geordnete algebraische Struktur |
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