Local Algebra:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
|
| Schriftenreihe: | Springer Monographs in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The present book is an English translation of Algebre Locale - Multiplicites published by Springer-Verlag as no. 11 of the Lecture Notes series. The original text was based on a set of lectures, given at the College de France in 1957-1958, and written up by Pierre Gabriel. Its aim was to give a short account of Commutative Algebra, with emphasis on the following topics: a) Modules (as opposed to Rings, which were thought to be the only subject of Commutative Algebra, before the emergence of sheaf theory in the 1950s); b) H omological methods, a la Cartan-Eilenberg; c) Intersection multiplicities, viewed as Euler-Poincare characteristics. The English translation, done with great care by Chee Whye Chin, differs from the original in the following aspects: - The terminology has been brought up to date (e.g. "cohomological dimension" has been replaced by the now customary "depth"). I have rewritten a few proofs and clarified (or so I hope) a few more. - A section on graded algebras has been added (App. III to Chap. IV). - New references have been given, especially to other books on Commutive Algebra: Bourbaki (whose Chap. X has now appeared, after a 40-year wait) , Eisenbud, Matsumura, Roberts, .... I hope that these changes will make the text easier to read, without changing its informal "Lecture Notes" character |
| Beschreibung: | 1 Online-Ressource (XIII, 130 p) |
| ISBN: | 9783662042038 9783642085901 |
| ISSN: | 1439-7382 |
| DOI: | 10.1007/978-3-662-04203-8 |
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Datensatz im Suchindex
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| author | Serre, Jean-Pierre |
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
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| dewey-search | 512 |
| dewey-sort | 3512 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-662-04203-8 |
| format | Electronic eBook |
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| id | DE-604.BV042423300 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:13Z |
| institution | BVB |
| isbn | 9783662042038 9783642085901 |
| issn | 1439-7382 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858717 |
| oclc_num | 864077388 |
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| physical | 1 Online-Ressource (XIII, 130 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 2000 |
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| publisher | Springer Berlin Heidelberg |
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| series2 | Springer Monographs in Mathematics |
| spelling | Serre, Jean-Pierre Verfasser aut Local Algebra by Jean-Pierre Serre Berlin, Heidelberg Springer Berlin Heidelberg 2000 1 Online-Ressource (XIII, 130 p) txt rdacontent c rdamedia cr rdacarrier Springer Monographs in Mathematics 1439-7382 The present book is an English translation of Algebre Locale - Multiplicites published by Springer-Verlag as no. 11 of the Lecture Notes series. The original text was based on a set of lectures, given at the College de France in 1957-1958, and written up by Pierre Gabriel. Its aim was to give a short account of Commutative Algebra, with emphasis on the following topics: a) Modules (as opposed to Rings, which were thought to be the only subject of Commutative Algebra, before the emergence of sheaf theory in the 1950s); b) H omological methods, a la Cartan-Eilenberg; c) Intersection multiplicities, viewed as Euler-Poincare characteristics. The English translation, done with great care by Chee Whye Chin, differs from the original in the following aspects: - The terminology has been brought up to date (e.g. "cohomological dimension" has been replaced by the now customary "depth"). I have rewritten a few proofs and clarified (or so I hope) a few more. - A section on graded algebras has been added (App. III to Chap. IV). - New references have been given, especially to other books on Commutive Algebra: Bourbaki (whose Chap. X has now appeared, after a 40-year wait) , Eisenbud, Matsumura, Roberts, .... I hope that these changes will make the text easier to read, without changing its informal "Lecture Notes" character Mathematics Algebra Mathematik Stellenalgebra (DE-588)4183082-9 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Stellenalgebra (DE-588)4183082-9 s Kommutative Algebra (DE-588)4164821-3 s 1\p DE-604 https://doi.org/10.1007/978-3-662-04203-8 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Serre, Jean-Pierre Local Algebra Mathematics Algebra Mathematik Stellenalgebra (DE-588)4183082-9 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| subject_GND | (DE-588)4183082-9 (DE-588)4164821-3 |
| title | Local Algebra |
| title_auth | Local Algebra |
| title_exact_search | Local Algebra |
| title_full | Local Algebra by Jean-Pierre Serre |
| title_fullStr | Local Algebra by Jean-Pierre Serre |
| title_full_unstemmed | Local Algebra by Jean-Pierre Serre |
| title_short | Local Algebra |
| title_sort | local algebra |
| topic | Mathematics Algebra Mathematik Stellenalgebra (DE-588)4183082-9 gnd Kommutative Algebra (DE-588)4164821-3 gnd |
| topic_facet | Mathematics Algebra Mathematik Stellenalgebra Kommutative Algebra |
| url | https://doi.org/10.1007/978-3-662-04203-8 |
| work_keys_str_mv | AT serrejeanpierre localalgebra |