ENGLISH

Lecture Notes on Local Rings

By Birger Iversen , Holger Andreas Nielsen

Book information

Publisher
World Scientific Pub Co Inc
Year
2014
ISBN
9814603651, 9789814603652
Language
english
Format
PDF
Filesize
1 MB (1457062 bytes)
Pages
C, x, 213pp\224
Topic
Mathematics Algebra
Scanned
yes
Time added
2014-07-19 09:40:20

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. Readership: Graduate students and academic researchers with an interest in algebra, commutative algebra, algebra geometry, homological algebra and algebraic number theory.

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