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Lecture Notes on Local Rings
Hardcover
AlgebraGeneral MathematicsGeometry
ISBN13: 9789814603652
Publisher: World Scientific Publishing Company
Published: Aug 26 2014
Pages: 224
Weight: 1.20
Height: 0.70 Width: 6.10 Depth: 9.10
Language: English
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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