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Lecture Notes On Local Rings

ISBN 9789814603676
REGISTERED: 11/21/17
UPDATED: 10/27/21
Lecture Notes On Local Rings
Rank: 32%
Bluestar Blackstar Blackstar Blackstar Blackstar

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

  • Lecture Notes On Local Rings available on August 25 2018 from VitalSource for Https://" itemprop="offers" target="_external" title="" itemscope itemtype="">19.0
  • ISBN bar code 9789814603676 ξ1 registered February 29 2016
  • Product category is Book

  • # 9789814603676

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.Contents: Dimension of a Local Ring Modules over a Local Ring Divisor Theory Completion Injective Modules Local Cohomology Dualizing Complexes Local Duality Amplitude and Dimension Intersection Multiplicities Complexes of Free Modules Readership: Graduate students and academic researchers with an interest in algebra, commutative algebra, algebra geometry, homological algebra and algebraic number theory. Key Features:Although the proofs are fairly short, the key points give readers the opportunity to supply details for their own satisfactionThe classical result of Auslander-Buchsbaum on unique factorization in a regular local ring is treated in a context of divisor and Picard groups, and this enlightens and connects to methods from number theoryThis book contains original research of the late Professor Iversen that are not published in this form before

    ^ Lecture Notes On Local Rings VitalSource. (revised Aug 2018)

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