Dualities on generalized Koszul algebras:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
2002
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
754 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | "Volume 159, number 754 (first of 5 numbers)." |
| Beschreibung: | XV, 67 S. |
| ISBN: | 0821829343 |
Internformat
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| 100 | 1 | |a Green, Edward L. |d 1946- |e Verfasser |0 (DE-588)172117577 |4 aut | |
| 245 | 1 | 0 | |a Dualities on generalized Koszul algebras |c Edward L. Green ; Idun Reiten ; Øyvind Solberg |
| 264 | 1 | |a Providence, RI |b American Mathematical Society |c 2002 | |
| 300 | |a XV, 67 S. | ||
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| 337 | |b n |2 rdamedia | ||
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v 754 | |
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| 650 | 4 | |a Artin algebras | |
| 650 | 4 | |a Duality theory (Mathematics) | |
| 650 | 4 | |a Graded rings | |
| 650 | 4 | |a Koszul algebras | |
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Datensatz im Suchindex
| _version_ | 1804129305586827264 |
|---|---|
| adam_text | Contents
Introduction ix
Acknowledgment xi
Notation and general preliminary results xiii
Chapter I. Main results and examples 1
1. Two classical cases 1
2. Statements of main results 4
3. T Koszul algebras concentrated in degrees 0 and 1 7
4. Further examples and classes of T Koszul algebras 10
Chapter II. Proofs of main results 17
1. Preliminaries 17
2. Duality 23
3. T Koszul algebras and quadratic algebras 28
Chapter III. Generalized T Koszul algebras 30
1. Natural properties of Koszul modules 30
2. Generalized T Koszul algebras 35
3. The classical cases revisited 37
4. Necessity of the g Tor conditions 38
5. Properties of the Ext functor 39
6. Duality 44
Chapter IV. Further results and questions 48
1. Modules generated in 0 48
2. T Koszul algebras in degrees 0 and 1, revisited 52
3. Ext algebras for injective cotilting modules 54
4. rejr = 0 and corejT = 0 58
5. Questions 59
6. Quadruples 63
Bibliography 66
vii
|
| any_adam_object | 1 |
| author | Green, Edward L. 1946- |
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| dewey-full | 510 512/.5 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics 512 - Algebra |
| dewey-raw | 510 512/.5 |
| dewey-search | 510 512/.5 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV014486404 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T19:03:02Z |
| institution | BVB |
| isbn | 0821829343 |
| language | English |
| lccn | 2002025583 |
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| physical | XV, 67 S. |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | American Mathematical Society |
| record_format | marc |
| series | Memoirs of the American Mathematical Society |
| series2 | Memoirs of the American Mathematical Society |
| spelling | Green, Edward L. 1946- Verfasser (DE-588)172117577 aut Dualities on generalized Koszul algebras Edward L. Green ; Idun Reiten ; Øyvind Solberg Providence, RI American Mathematical Society 2002 XV, 67 S. txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society 754 "Volume 159, number 754 (first of 5 numbers)." Ringen (wiskunde) gtt Artin algebras Duality theory (Mathematics) Graded rings Koszul algebras Koszul-Algebra (DE-588)4654529-3 gnd rswk-swf Koszul-Algebra (DE-588)4654529-3 s DE-604 Reiten, Idun 1942- Sonstige (DE-588)108418413 oth Solberg, Øyvind 1961- Sonstige (DE-588)173079156 oth Memoirs of the American Mathematical Society 754 (DE-604)BV008000141 754 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Green, Edward L. 1946- Dualities on generalized Koszul algebras Memoirs of the American Mathematical Society Ringen (wiskunde) gtt Artin algebras Duality theory (Mathematics) Graded rings Koszul algebras Koszul-Algebra (DE-588)4654529-3 gnd |
| subject_GND | (DE-588)4654529-3 |
| title | Dualities on generalized Koszul algebras |
| title_auth | Dualities on generalized Koszul algebras |
| title_exact_search | Dualities on generalized Koszul algebras |
| title_full | Dualities on generalized Koszul algebras Edward L. Green ; Idun Reiten ; Øyvind Solberg |
| title_fullStr | Dualities on generalized Koszul algebras Edward L. Green ; Idun Reiten ; Øyvind Solberg |
| title_full_unstemmed | Dualities on generalized Koszul algebras Edward L. Green ; Idun Reiten ; Øyvind Solberg |
| title_short | Dualities on generalized Koszul algebras |
| title_sort | dualities on generalized koszul algebras |
| topic | Ringen (wiskunde) gtt Artin algebras Duality theory (Mathematics) Graded rings Koszul algebras Koszul-Algebra (DE-588)4654529-3 gnd |
| topic_facet | Ringen (wiskunde) Artin algebras Duality theory (Mathematics) Graded rings Koszul algebras Koszul-Algebra |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009879670&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV008000141 |
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