Lectures on the applications of sheaves to ring theory:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1971
|
| Series: | Tulane University of Louisiana <New Orleans, La.>: Tulane University Ring and Operator Theory Year, 1970 - 1971
3 Lecture notes in mathematics 248 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VIII, 315 S. |
| ISBN: | 3540057145 0387057145 |
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Record in the Search Index
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| adam_text | Contents
KLAUS KEIMEL
The Representation of Lattice Ordered Groups and Rings by
Sections in Sheaves
Introduction 2
1. Preliminaries on Lattice Ordered Rings and their
Ideal Theory 7
2. Sheaves of Lattice Ordered Rings 18
3. The General Representation Theorem 24
4. Representation over the Direct Factor Space 33
5 Polar Ideals and Function Rings 38
6. Representation over the Space of Minimal Irreducible
t Ideals 48
7. Quasiregular and Hyperarchimedean f Rings 56
8. Representation over the Space of Maximal ^ Ideals . . 64
9. Dominated •£ Ideals 74
Bibliographical and Other Remarks 86
Bibliography 96
SILVIU TELEMAN
Theory of Harmonic Algebras with Applications to von Neumann
Algebras and Cohomology of Locally Compact Spaces
(de Rham s Theorem)
Preface 100
Theory of Harmonic Algebras 104
Introduction 104
1. Harmonic Algebras 106
2. Representation by Sheaves of Harmonic Algebras . . 139
3. Algebraic Reduction Theory for von Neumann Algebras 159
VIII
4. Simultaneous Reduction for Q, and 0. 187
5. Algebraic Reduction and Irreducible Representations . . 194
6. Algebraic Reduction and Pure States 200
7. Further Prpperties of the Algebraic Factors 203
8. Algebraic Reduction and Type Theory 210
9. Representation by Sheaves of Modules over Harmonic
Algebras 219
10. The Localization of Modules 236
11. The Support of a Module 241
12. Localizable Mappings 246
13 The Representation Functors 254
14 Operations with Modules 261
15. The Representation of the Lie Algebra of Derivations . 276
16. Derivation Laws 280
17. The Lie Derivation 295
18. Changing the Ring of Scalars 299
19. De Rham s Theorem 301
20. An Example 309
Bibliography 311
NOTE: Volume I of the Tulane Ring and Operator Theory series
contains the following contribution in which the representation
of rings by sections in sheaves plays a role:
SKEW FIELDS OF FRACTIONS, AND THE PRIME SPECTRUM OF A GENERAL
RING, Paul M. Cohn 1 71
|
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| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV003002774 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T15:52:04Z |
| institution | BVB |
| isbn | 3540057145 0387057145 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-001879844 |
| oclc_num | 164999213 |
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| physical | VIII, 315 S. |
| psigel | IFKMB0902 HUB-ZB011201006 |
| publishDate | 1971 |
| publishDateSearch | 1971 |
| publishDateSort | 1971 |
| publisher | Springer |
| record_format | marc |
| series | Tulane University of Louisiana <New Orleans, La.>: Tulane University Ring and Operator Theory Year, 1970 - 1971 Lecture notes in mathematics |
| series2 | Tulane University of Louisiana <New Orleans, La.>: Tulane University Ring and Operator Theory Year, 1970 - 1971 Lecture notes in mathematics |
| spelling | Lectures on the applications of sheaves to ring theory Berlin [u.a.] Springer 1971 VIII, 315 S. txt rdacontent n rdamedia nc rdacarrier Tulane University of Louisiana <New Orleans, La.>: Tulane University Ring and Operator Theory Year, 1970 - 1971 3 Lecture notes in mathematics 248 Ring Mathematik (DE-588)4128084-2 gnd rswk-swf Garbe Mathematik (DE-588)4019261-1 gnd rswk-swf Garbe Mathematik (DE-588)4019261-1 s Ring Mathematik (DE-588)4128084-2 s DE-604 Tulane University of Louisiana <New Orleans, La.>: Tulane University Ring and Operator Theory Year, 1970 - 1971 3 (DE-604)BV002788222 3 Lecture notes in mathematics 248 (DE-604)BV000676446 248 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001879844&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Lectures on the applications of sheaves to ring theory Tulane University of Louisiana <New Orleans, La.>: Tulane University Ring and Operator Theory Year, 1970 - 1971 Lecture notes in mathematics Ring Mathematik (DE-588)4128084-2 gnd Garbe Mathematik (DE-588)4019261-1 gnd |
| subject_GND | (DE-588)4128084-2 (DE-588)4019261-1 |
| title | Lectures on the applications of sheaves to ring theory |
| title_auth | Lectures on the applications of sheaves to ring theory |
| title_exact_search | Lectures on the applications of sheaves to ring theory |
| title_full | Lectures on the applications of sheaves to ring theory |
| title_fullStr | Lectures on the applications of sheaves to ring theory |
| title_full_unstemmed | Lectures on the applications of sheaves to ring theory |
| title_short | Lectures on the applications of sheaves to ring theory |
| title_sort | lectures on the applications of sheaves to ring theory |
| topic | Ring Mathematik (DE-588)4128084-2 gnd Garbe Mathematik (DE-588)4019261-1 gnd |
| topic_facet | Ring Mathematik Garbe Mathematik |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001879844&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV002788222 (DE-604)BV000676446 |