Lecture notes on local rings /:
"The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
[Hackensack] New Jersey :
World Scientific,
2014.
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants."-- |
| Beschreibung: | 1 online resource |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814603669 981460366X |
Internformat
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| 520 | |a "The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants."-- |c Provided by publisher | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Local rings. |0 http://id.loc.gov/authorities/subjects/sh85077942 | |
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| 650 | 0 | |a Intersection homology theory. |0 http://id.loc.gov/authorities/subjects/sh2002004415 | |
| 650 | 6 | |a Anneaux locaux. | |
| 650 | 6 | |a Modules injectifs (Algèbre) | |
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| 650 | 7 | |a Local rings |2 fast | |
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| indexdate | 2024-11-27T13:26:04Z |
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| spelling | Iversen, Birger, author. Lecture notes. Selections Lecture notes on local rings / by Birger Iversen ; edited by Holger Andreas Nielsen (Aarhus University, Denmark). [Hackensack] New Jersey : World Scientific, 2014. 1 online resource text txt rdacontent computer c rdamedia online resource cr rdacarrier "The content in Chapter 1-3 is a fairly standard one-semester course on local rings with the goal to reach the fact that a regular local ring is a unique factorization domain. The homological machinery is also supported by Cohen-Macaulay rings and depth. In Chapters 4-6 the methods of injective modules, Matlis duality and local cohomology are discussed. Chapters 7-9 are not so standard and introduce the reader to the generalizations of modules to complexes of modules. Some of Professor Iversen's results are given in Chapter 9. Chapter 10 is about Serre's intersection conjecture. The graded case is fully exposed. The last chapter introduces the reader to Fitting ideals and McRae invariants."-- Provided by publisher Includes bibliographical references and index. Print version record. Local rings. http://id.loc.gov/authorities/subjects/sh85077942 Injective modules (Algebra) http://id.loc.gov/authorities/subjects/sh85066449 Intersection homology theory. http://id.loc.gov/authorities/subjects/sh2002004415 Anneaux locaux. Modules injectifs (Algèbre) Homologie d'intersection. MATHEMATICS Algebra Intermediate. bisacsh Injective modules (Algebra) fast Intersection homology theory fast Local rings fast Nielsen, Holger Andreas, editor. Print version: Iversen, Birger. Lecture notes. Selections. Lecture notes on local rings 9789814603652 (DLC) 2014010375 (OCoLC)874835508 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810381 Volltext |
| spellingShingle | Iversen, Birger Lecture notes on local rings / Local rings. http://id.loc.gov/authorities/subjects/sh85077942 Injective modules (Algebra) http://id.loc.gov/authorities/subjects/sh85066449 Intersection homology theory. http://id.loc.gov/authorities/subjects/sh2002004415 Anneaux locaux. Modules injectifs (Algèbre) Homologie d'intersection. MATHEMATICS Algebra Intermediate. bisacsh Injective modules (Algebra) fast Intersection homology theory fast Local rings fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85077942 http://id.loc.gov/authorities/subjects/sh85066449 http://id.loc.gov/authorities/subjects/sh2002004415 |
| title | Lecture notes on local rings / |
| title_alt | Lecture notes. |
| title_auth | Lecture notes on local rings / |
| title_exact_search | Lecture notes on local rings / |
| title_full | Lecture notes on local rings / by Birger Iversen ; edited by Holger Andreas Nielsen (Aarhus University, Denmark). |
| title_fullStr | Lecture notes on local rings / by Birger Iversen ; edited by Holger Andreas Nielsen (Aarhus University, Denmark). |
| title_full_unstemmed | Lecture notes on local rings / by Birger Iversen ; edited by Holger Andreas Nielsen (Aarhus University, Denmark). |
| title_short | Lecture notes on local rings / |
| title_sort | lecture notes on local rings |
| topic | Local rings. http://id.loc.gov/authorities/subjects/sh85077942 Injective modules (Algebra) http://id.loc.gov/authorities/subjects/sh85066449 Intersection homology theory. http://id.loc.gov/authorities/subjects/sh2002004415 Anneaux locaux. Modules injectifs (Algèbre) Homologie d'intersection. MATHEMATICS Algebra Intermediate. bisacsh Injective modules (Algebra) fast Intersection homology theory fast Local rings fast |
| topic_facet | Local rings. Injective modules (Algebra) Intersection homology theory. Anneaux locaux. Modules injectifs (Algèbre) Homologie d'intersection. MATHEMATICS Algebra Intermediate. Intersection homology theory Local rings |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=810381 |
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