Representation type of commutative Noetherian rings III: global wildness and tameness
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Providence, R.I.
American Mathematical Society
2005
|
| Series: | Memoirs of the American Mathematical Society
832 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | "Volume 176, number 832 (end of volume)." Includes bibliographical references and index |
| Physical Description: | VII, 170 S. |
| ISBN: | 0821837389 |
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Record in the Search Index
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| adam_text | OF THE AMERICAN MATHEMATICAL SOCIETY NUMBER 832 REPRESENTATION TYPE OF
COMMUTATIVE NOETHERIAN RINGS III: GLOBAL WILDNESS AND TAMENESS LEE
KLINGLER LAWRENCE S. LEVY JULY 2005 * VOLUME 176 * NUMBER 832 (END OF
VOLUME) * ISSN 0065-9266 AMERICAN MATHEMATICAL SOCIETY PROVIDENCE, RHODE
ISLAND CONTENTS 1. ABSTRACT VII 2. INTRODUCTION 1 CHAPTER 0.
PRELIMINARIES 9 3. STANDARD NOTATION AND TERMINOLOGY 9 4. Q-LOCALIZATION
AND MINIMAL PRIMES 10 5. IDEAL-ADIC COMPLETIONS 12 6. PRIMARY COMPONENTS
(TERMINOLOGY FROM ABELIAN GROUPS) 15 7. ELIMINATION OF FINITE-LENGTH
SUMMANDS 17 8. BASIC FINITENESS CONDITIONS . 20 9. GENERAL CANCELLATION
AND DIRECT SUMMANDS IN DIMENSION 1 22 CHAPTER 1. DEDEKIND-LIKE RINGS 25
10. DEFINITION AND CHARACTERIZATIONS 25 11. MAXIMAL IDEALS: RESIDUE
INCLUSIONS, LOCALIZATIONS, COMPLETIONS 27 12. SURJECTIVE PULLBACK
SQUARES 32 13. HOMOMORPHIC IMAGES: LOCAL VERSUS COMPLETE LOCAL 34
CHAPTER 2. WILDNESS 39 14. GLOBAL DICHOTOMY, GLOBAL WILDNESS 39 CHAPTER
3. STRUCTURE OF A GENUS 45 15. CONSISTENT (TORSIONFREE) RANKS 45 16.
INDECOMPOSABLE A-MODULES; CONNECTIONS GRAPH 49 CHAPTER 4. SUBSTITUTE FOR
CONDUCTOR SQUARES 61 17. RESIDUE INCLUSIONS OF SEPARATED MODULES 61 18.
SEPARATED COVERS 66 CHAPTER 5. ISOMORPHISM CLASSES IN A GENUS, IDELE
GROUP ACTION 75 19. RESTRICTED GENUS AND SEPARATED COVERS 75 20. WIEGAND
LIFTING THEOREM 77 21. RESIDUE ENDO-IDELES ON F-MODULES 82 22. RESIDUE
UNIT IDELES 87 23. STABILIZERS: BASIC PROPERTIES 92 24. EQUALITY
STABILIZERS 96 CHAPTER 6. WEB OF CLASS GROUPS 113 25. GENUS CLASS GROUP,
-MAP, MAYER-VIETORIS SEQUENCE 113 26. CANCELLATION, RESTRICTED GENUS,
AND IDELES 120 27. SUPER _MAYER-VIETORIS AND FAITHFUL MODULES 123 VI
CONTENTS 28. SUPER MAYER-VIETORIS AND UNFAITHFUL MODULES 132 CHAPTER 7.
DIRECT SUMS 137 29. GENERAL RESULTS 137 30. DECOMPOSITION OF Q(M);
RELATION TO DIRECT SUMMANDS OF M 139 31. EXAMPLES: SIMPLEST G{A);
DIRECT-SUM DECOMPOSITIONS 145 CHAPTER 8. FINITE NORMALIZATION 149 32. A
R VERSUS R F 149 33. STRUCTURE OF A. ANOTHER SIMPLE Q{K) 151 34.
EXAMPLE: S = Q{M) / Q{K) 153 35. POWER ISOMORPHISM, CANCELLATION, POWER
CANCELLATION 154 36. UNSPLIT MAYER-VIETORIS; EXAMPLE: Q{H) / R(A) ^ 0;
CANCELLATION IN Z[-Y/N] 158 APPENDIX A. 163 37. OPEN PROBLEMS 163
APPENDIX B. 165 38. TERMINOLOGY INDEX 165 39. NOTATION INDEX 167
BIBLIOGRAPHY 169
|
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| isbn | 0821837389 |
| language | English |
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| physical | VII, 170 S. |
| publishDate | 2005 |
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| spelling | Klingler, Lee 1955- Verfasser (DE-588)172189594 aut Representation type of commutative Noetherian rings III global wildness and tameness Lee Klingler, Lawrence S. Levy Providence, R.I. American Mathematical Society 2005 VII, 170 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 832 "Volume 176, number 832 (end of volume)." Includes bibliographical references and index Anéis e álgebras associativos larpcal Anéis e álgebras comutativos larpcal Noetherse ringen gtt Representatie (wiskunde) gtt Noetherian rings Representations of rings (Algebra) Levy, Lawrence S. 1933- Sonstige (DE-588)1018481222 oth Memoirs of the American Mathematical Society 832 (DE-604)BV008000141 832 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013198476&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Klingler, Lee 1955- Representation type of commutative Noetherian rings III global wildness and tameness Memoirs of the American Mathematical Society Anéis e álgebras associativos larpcal Anéis e álgebras comutativos larpcal Noetherse ringen gtt Representatie (wiskunde) gtt Noetherian rings Representations of rings (Algebra) |
| title | Representation type of commutative Noetherian rings III global wildness and tameness |
| title_auth | Representation type of commutative Noetherian rings III global wildness and tameness |
| title_exact_search | Representation type of commutative Noetherian rings III global wildness and tameness |
| title_full | Representation type of commutative Noetherian rings III global wildness and tameness Lee Klingler, Lawrence S. Levy |
| title_fullStr | Representation type of commutative Noetherian rings III global wildness and tameness Lee Klingler, Lawrence S. Levy |
| title_full_unstemmed | Representation type of commutative Noetherian rings III global wildness and tameness Lee Klingler, Lawrence S. Levy |
| title_short | Representation type of commutative Noetherian rings III |
| title_sort | representation type of commutative noetherian rings iii global wildness and tameness |
| title_sub | global wildness and tameness |
| topic | Anéis e álgebras associativos larpcal Anéis e álgebras comutativos larpcal Noetherse ringen gtt Representatie (wiskunde) gtt Noetherian rings Representations of rings (Algebra) |
| topic_facet | Anéis e álgebras associativos Anéis e álgebras comutativos Noetherse ringen Representatie (wiskunde) Noetherian rings Representations of rings (Algebra) |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=013198476&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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