Finite free resolutions:
An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a w...
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1976
|
| Schriftenreihe: | Cambridge tracts in mathematics
71 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 UBR01 Volltext |
| Zusammenfassung: | An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked. D. A. Buchsbaum and D. Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly. This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory, and to provide a sound foundation for further study. The text contains a substantial number of exercises. These enable the reader to test his understanding and they allow the subject to be developed more rapidly. Each chapter ends with the solutions to the exercises contained in it |
| Beschreibung: | 1 Online-Ressource (xii, 271 Seiten) |
| ISBN: | 9780511565892 |
| DOI: | 10.1017/CBO9780511565892 |
Internformat
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| 520 | |a An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked. D. A. Buchsbaum and D. Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly. This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory, and to provide a sound foundation for further study. The text contains a substantial number of exercises. These enable the reader to test his understanding and they allow the subject to be developed more rapidly. Each chapter ends with the solutions to the exercises contained in it | ||
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Datensatz im Suchindex
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| author | Northcott, D. G. 1916-2005 |
| author_GND | (DE-588)1069316792 |
| author_facet | Northcott, D. G. 1916-2005 |
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| author_sort | Northcott, D. G. 1916-2005 |
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| bvnumber | BV043942304 |
| classification_rvk | SK 320 |
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| ctrlnum | (ZDB-20-CBO)CR9780511565892 (OCoLC)849794343 (DE-599)BVBBV043942304 |
| dewey-full | 512/.55 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512/.55 |
| dewey-search | 512/.55 |
| dewey-sort | 3512 255 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511565892 |
| format | Electronic eBook |
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| id | DE-604.BV043942304 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:17Z |
| institution | BVB |
| isbn | 9780511565892 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029351274 |
| oclc_num | 849794343 |
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| physical | 1 Online-Ressource (xii, 271 Seiten) |
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| publishDate | 1976 |
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| spelling | Northcott, D. G. 1916-2005 Verfasser (DE-588)1069316792 aut Finite free resolutions D.G. Northcott Cambridge Cambridge University Press 1976 1 Online-Ressource (xii, 271 Seiten) txt rdacontent c rdamedia cr rdacarrier Cambridge tracts in mathematics 71 An important part of homological algebra deals with modules possessing projective resolutions of finite length. This goes back to Hilbert's famous theorem on syzygies through, in the earlier theory, free modules with finite bases were used rather than projective modules. The introduction of a wider class of resolutions led to a theory rich in results, but in the process certain special properties of finite free resolutions were overlooked. D. A. Buchsbaum and D. Eisenbud have shown that finite free resolutions have a fascinating structure theory. This has revived interest in the simpler kind of resolution and caused the subject to develop rapidly. This Cambridge Tract attempts to give a genuinely self-contained and elementary presentation of the basic theory, and to provide a sound foundation for further study. The text contains a substantial number of exercises. These enable the reader to test his understanding and they allow the subject to be developed more rapidly. Each chapter ends with the solutions to the exercises contained in it Algebra, Homological Modules (Algebra) Homologische Algebra (DE-588)4160598-6 gnd rswk-swf Homologische Algebra (DE-588)4160598-6 s 1\p DE-604 Erscheint auch als Druck-Ausgabe 978-0-521-21155-0 Erscheint auch als Druck-Ausgabe 978-0-521-60487-1 https://doi.org/10.1017/CBO9780511565892 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Northcott, D. G. 1916-2005 Finite free resolutions Algebra, Homological Modules (Algebra) Homologische Algebra (DE-588)4160598-6 gnd |
| subject_GND | (DE-588)4160598-6 |
| title | Finite free resolutions |
| title_auth | Finite free resolutions |
| title_exact_search | Finite free resolutions |
| title_full | Finite free resolutions D.G. Northcott |
| title_fullStr | Finite free resolutions D.G. Northcott |
| title_full_unstemmed | Finite free resolutions D.G. Northcott |
| title_short | Finite free resolutions |
| title_sort | finite free resolutions |
| topic | Algebra, Homological Modules (Algebra) Homologische Algebra (DE-588)4160598-6 gnd |
| topic_facet | Algebra, Homological Modules (Algebra) Homologische Algebra |
| url | https://doi.org/10.1017/CBO9780511565892 |
| work_keys_str_mv | AT northcottdg finitefreeresolutions |