Lecture notes on local rings / Birger Iversen ; edited by Holger Andreas Nielsen, Aarhus University, Denmark.
By: Iversen, Birger [author.].
Contributor(s): Nielsen, Holger Andreas [editor.].
Material type:
TextPublisher: New Jersey : World Scientific, [2014]Copyright date: ©2014Description: x, 213 pages ; USD 48.00 24 cm.Content type: text Media type: unmediated Carrier type: volumeISBN: 9789814603652 (hardcover : alk. paper); 9814603651 (hardcover : alk. paper).Uniform titles: Lecture notes. Selections Subject(s): Local rings | Injective modules (Algebra) | Intersection homology theoryDDC classification: 512/.4 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."-- Provided by publisher.
| Item type | Current location | Call number | Status | Date due | Barcode | Item holds |
|---|---|---|---|---|---|---|
| Book | Chennai Mathematical Institute General Stacks | 512.4 IVE (Browse shelf) | Available | 9545 |
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| 512.4 GOT The Cohen-Macaulay and Gorenstein Rees algebras associated to filtrations / | 512.4 HUN Integral closure of ideals, rings, and modules / | 512.4 HUN Tight closure and its applications / | 512.4 IVE Lecture notes on local rings / | 512.4 LEU Cohen-Macaulay representations / | 512.4 LEU Cohen-Macaulay representations / | 512.4 MAZ Lectures on algebraic categorification / |
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."-- Provided by publisher.