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 modul...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2014
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| Subjects: | |
| Online Access: | FHN01 Volltext |
| Summary: | 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 |
| Physical Description: | x, 213 p |
| ISBN: | 9789814603669 |
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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 | ||
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| spelling | Iversen, Birger Verfasser aut Lecture notes on local rings Birger Iversen ; edited by Holger Andreas Nielsen Singapore World Scientific Pub. Co. c2014 x, 213 p txt rdacontent c rdamedia 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 Local rings Injective modules (Algebra) Intersection homology theory Stellenring (DE-588)4183087-8 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Stellenring (DE-588)4183087-8 s 2\p DE-604 Nielsen, Holger Andreas Sonstige oth Erscheint auch als Druck-Ausgabe 9789814603652 Erscheint auch als Druck-Ausgabe 9814603651 http://www.worldscientific.com/worldscibooks/10.1142/9178#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Iversen, Birger Lecture notes on local rings Local rings Injective modules (Algebra) Intersection homology theory Stellenring (DE-588)4183087-8 gnd |
| subject_GND | (DE-588)4183087-8 (DE-588)4123623-3 |
| title | Lecture notes on local rings |
| title_auth | Lecture notes on local rings |
| title_exact_search | Lecture notes on local rings |
| title_full | Lecture notes on local rings Birger Iversen ; edited by Holger Andreas Nielsen |
| title_fullStr | Lecture notes on local rings Birger Iversen ; edited by Holger Andreas Nielsen |
| title_full_unstemmed | Lecture notes on local rings Birger Iversen ; edited by Holger Andreas Nielsen |
| title_short | Lecture notes on local rings |
| title_sort | lecture notes on local rings |
| topic | Local rings Injective modules (Algebra) Intersection homology theory Stellenring (DE-588)4183087-8 gnd |
| topic_facet | Local rings Injective modules (Algebra) Intersection homology theory Stellenring Lehrbuch |
| url | http://www.worldscientific.com/worldscibooks/10.1142/9178#t=toc |
| work_keys_str_mv | AT iversenbirger lecturenotesonlocalrings AT nielsenholgerandreas lecturenotesonlocalrings |