Lecture Notes on Local Rings
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Word Count
53,250 words, Guess
Page Count
213 pages
Identifiers
- Open LibraryOL25870339M
- ISBN-139789814603652
- OCLC Control Number874835508
- Library of Congress Control Number2014010375
Classifications
- LCCQA251.38.I94 2014
Description
"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."--
Subjects
Other Editions
- Lecture Notes on Local Rings
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