Lecture notes on local rings / Birger Iversen ; edited by Holger Andreas Nielsen, Aarhus University, Denmark.
Material type: TextPublication details: Singapore: World Scientific, 2014Description: x, 213 pagesISBN:- 9789814603652 (hardcover : alk. paper)
- 9814603651 (hardcover : alk. paper)
- Lecture notes.
- 512.552 IVE
Item type | Current library | Call number | Status | Date due | Barcode |
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Books | Department of Mathematics | 512.552 IVE (Browse shelf(Opens below)) | Available | MAT09235 |
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512.552 COH Free ideal rings and localization in general rings / | 512.552 FAR Algebras of linear transformations / | 512.552 GAR Rings and radicals : | 512.552 IVE Lecture notes on local rings / | 512.552 JAR Localization and sheaves : | 512.552.1 NAR Elements of elementary algebraic structures.-part 2 | 512.552.1 VIL Monomial algebras / |
Includes bibliographical references (pages 207-209) and index.
"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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