Homology of local rings:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Kingston, Ontario
Queen's University
1969
|
| Series: | Queen's Papers in Pure and Applied Mathematics
20 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 192 Seiten |
Staff View
MARC
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| 245 | 1 | 0 | |a Homology of local rings |c Tor H. Gulliksen and Gerson Levin |
| 264 | 1 | |a Kingston, Ontario |b Queen's University |c 1969 | |
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Record in the Search Index
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| adam_text | TABLE OF CONTENTS
PREFACE i
INTRODUCTION iv
NOTATIONS AND CONVENTIONS x
CHAPTER ONE: DIFFERENTIAL CRADED ALCEbRAS 1
§1. Basic definitions. Augmented R algebras. 1
§2. Construction of R algebra resolutions.
The process of adjoining variables to
kill cycles. 8
§3. Derivations and the exact sequence
associated with the adjunction of a
variable. 16
§4. The Koszul complex, R sequences, Co
dimension and regular rings. 2b
§5. Local complete intersections and the
Tate Zariski resolution. 40
§6. Minimal R algebra resolutions. 44
§7. Divided power algebras. 51
§h. Augmented (R) algebras. 61
§9. Acyclic closure of augmented (R) algebras. 72
CHAPTER TWO: THE STRUCTURE AND DUALITY OF
TorR(k,k) AND ExtR(k,k) . 87
§1. Algebras, co algebras, and Hopf algebras. 87
§2. TorR(k,k) as a Hopf algebra. 96
§3. The Duality of ExtR(k,k) and TorR(k,k) 101
§4. Examples. 108
CHAPTER TilREE: THE POINCARE SERIES OF A LOCAL RINC 116
§1. The Poincare series P(R) and the
deviations r (R) . 116
§2. V (K,R) as homology groups. 121
§3« Applications to the deviations e (R) . 133
§4» Behaviour of the Poincare series upon
reduction of the ring modulo a principal
ideal. 143
§S. Characterizations of local complete
intersections. 149
CHAPTER FOUR: ON THE RATIONALITY OF THE POINCARE
SERIES. 156
§1. Eagon s resolution. 156
§2. Massey operations and a theorem of
Colod. 162
§3. Applications of Golod s theorem. 170
§4. An exact couple. 175
BIBLIOGRAPHY 189
|
| any_adam_object | 1 |
| author | Gulliksen, Tor H. Levin, Gerson |
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| classification_rvk | SI 380 SK 230 |
| ctrlnum | (OCoLC)138875 (DE-599)BVBBV005814853 |
| dewey-full | 512/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.4 |
| dewey-search | 512/.4 |
| dewey-sort | 3512 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV005814853 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:35:08Z |
| institution | BVB |
| language | English |
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| physical | X, 192 Seiten |
| psigel | TUB-nveb |
| publishDate | 1969 |
| publishDateSearch | 1969 |
| publishDateSort | 1969 |
| publisher | Queen's University |
| record_format | marc |
| series | Queen's Papers in Pure and Applied Mathematics |
| series2 | Queen's Papers in Pure and Applied Mathematics |
| spelling | Gulliksen, Tor H. Verfasser aut Homology of local rings Tor H. Gulliksen and Gerson Levin Kingston, Ontario Queen's University 1969 X, 192 Seiten txt rdacontent n rdamedia nc rdacarrier Queen's Papers in Pure and Applied Mathematics 20 Anneaux (Algèbre) Commutatieve ringen gtt Homologie Homologie gtt Homology theory Rings (Algebra) Homologie (DE-588)4141951-0 gnd rswk-swf Stellenring (DE-588)4183087-8 gnd rswk-swf Stellenring (DE-588)4183087-8 s Homologie (DE-588)4141951-0 s DE-604 Levin, Gerson Verfasser aut Queen's Papers in Pure and Applied Mathematics 20 (DE-604)BV001889470 20 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003635904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gulliksen, Tor H. Levin, Gerson Homology of local rings Queen's Papers in Pure and Applied Mathematics Anneaux (Algèbre) Commutatieve ringen gtt Homologie Homologie gtt Homology theory Rings (Algebra) Homologie (DE-588)4141951-0 gnd Stellenring (DE-588)4183087-8 gnd |
| subject_GND | (DE-588)4141951-0 (DE-588)4183087-8 |
| title | Homology of local rings |
| title_auth | Homology of local rings |
| title_exact_search | Homology of local rings |
| title_full | Homology of local rings Tor H. Gulliksen and Gerson Levin |
| title_fullStr | Homology of local rings Tor H. Gulliksen and Gerson Levin |
| title_full_unstemmed | Homology of local rings Tor H. Gulliksen and Gerson Levin |
| title_short | Homology of local rings |
| title_sort | homology of local rings |
| topic | Anneaux (Algèbre) Commutatieve ringen gtt Homologie Homologie gtt Homology theory Rings (Algebra) Homologie (DE-588)4141951-0 gnd Stellenring (DE-588)4183087-8 gnd |
| topic_facet | Anneaux (Algèbre) Commutatieve ringen Homologie Homology theory Rings (Algebra) Stellenring |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=003635904&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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