Representation type of commutative Noetherian rings: 3 Global wildness and tameness
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Providence, RI
American Math. Soc
2005
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
832 = 176,4 Memoirs of the American Mathematical Society ... |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | VII, 170 S. |
| ISBN: | 0821837389 |
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| 245 | 1 | 0 | |a Representation type of commutative Noetherian rings |n 3 |p Global wildness and tameness |c Lee Klingler ; Larwrence S. Levy |
| 264 | 1 | |a Providence, RI |b American Math. Soc |c 2005 | |
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Datensatz im Suchindex
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|---|---|
| adam_text | Contents
1. Abstract vii
2. Introduction i
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
V
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 S(A); Direct-Sum Decompositions 145
Chapter 8. Finite Normalization 149
32. Ar versus rr 149
33. Structure of A. Another simple (5(A) 151
34. Example: sQ = Q(M) ^ Q(A) 153
35. Power Isomorphism, Cancellation, Power Cancellation 154
36. Unsplit Mayer-Vietoris; Example: Q(A) / r£(A) / 0;
Cancellation in Z[v^] 158
Appendix A. 163
37. Open Problems 163
Appendix B. 165
38. Terminology Index 165
39. Notation Index 167
Bibliography 169
|
| any_adam_object | 1 |
| author | Klingler, Lee Levy, Lawrence S. 1933- |
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| indexdate | 2024-07-09T22:17:16Z |
| institution | BVB |
| isbn | 0821837389 |
| language | German |
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| spelling | Klingler, Lee Verfasser aut Representation type of commutative Noetherian rings 3 Global wildness and tameness Lee Klingler ; Larwrence S. Levy Providence, RI American Math. Soc 2005 VII, 170 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 832 = 176,4 Memoirs of the American Mathematical Society ... Levy, Lawrence S. 1933- Verfasser (DE-588)1018481222 aut (DE-604)BV025360653 3 American Mathematical Society Memoirs of the American Mathematical Society 832 (DE-604)BV008000141 832 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019290798&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Klingler, Lee Levy, Lawrence S. 1933- Representation type of commutative Noetherian rings |
| title | Representation type of commutative Noetherian rings |
| title_auth | Representation type of commutative Noetherian rings |
| title_exact_search | Representation type of commutative Noetherian rings |
| title_full | Representation type of commutative Noetherian rings 3 Global wildness and tameness Lee Klingler ; Larwrence S. Levy |
| title_fullStr | Representation type of commutative Noetherian rings 3 Global wildness and tameness Lee Klingler ; Larwrence S. Levy |
| title_full_unstemmed | Representation type of commutative Noetherian rings 3 Global wildness and tameness Lee Klingler ; Larwrence S. Levy |
| title_short | Representation type of commutative Noetherian rings |
| title_sort | representation type of commutative noetherian rings global wildness and tameness |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=019290798&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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