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.
| ISBN: | 9789814603652 |
| Publication date: | 26th August 2014 |
| Author: | Birger Iversen |
| Publisher: | World Scientific Publishing an imprint of WORLD SCIENTIFIC |
| Format: | Hardback |
| Pagination: | 224 pages |
| Genres: |
Algebra |
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.
Lecture Notes on Local Rings features in the following genres: Algebra
Lecture Notes on Local Rings is available in Hardback
Lecture Notes on Local Rings was written by Birger Iversen and published by World Scientific Publishing an imprint of WORLD SCIENTIFIC
Lecture Notes on Local Rings has 224 pages
£36.00