Lecture notes on local rings

著者

書誌事項

Lecture notes on local rings

Birger Iversen ; edited by Holger Andreas Nielsen

World Scientific, c2014

大学図書館所蔵 件 / 12

この図書・雑誌をさがす

注記

Includes bibliographical references (p. 207-209) and index

内容説明・目次

内容説明

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.

「Nielsen BookData」 より

詳細情報

ページトップへ