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Lecture Notes On Local Rings

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Title: Lecture Notes On Local Rings
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.
Authors: Birger Iversen, Holger Andreas Nielsen
Resource Type: eBook.
Subjects: Local rings, Injective modules (Algebra), Intersection homology theory
Categories: MATHEMATICS / Algebra / General, MATHEMATICS / Geometry / Algebraic, MATHEMATICS / Number Theory
Database: eBook Collection (EBSCOhost)
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  – Type: ebook-epub
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 810381
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PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1057.36352539063
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Items – Name: Title
  Label: Title
  Group: Ti
  Data: Lecture Notes On Local Rings
– Name: Abstract
  Label: Description
  Group: Ab
  Data: 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.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22Birger+Iversen%22">Birger Iversen</searchLink><br /><searchLink fieldCode="AR" term="%22Holger+Andreas+Nielsen%22">Holger Andreas Nielsen</searchLink>
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  Data: eBook.
– Name: Subject
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  Group: Su
  Data: <searchLink fieldCode="DE" term="%22Local+rings%22">Local rings</searchLink><br /><searchLink fieldCode="DE" term="%22Injective+modules+%28Algebra%29%22">Injective modules (Algebra)</searchLink><br /><searchLink fieldCode="DE" term="%22Intersection+homology+theory%22">Intersection homology theory</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Algebra+%2F+General%22">MATHEMATICS / Algebra / General</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Geometry+%2F+Algebraic%22">MATHEMATICS / Geometry / Algebraic</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Number+Theory%22">MATHEMATICS / Number Theory</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 512.4
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Local rings
        Type: general
      – SubjectFull: Injective modules (Algebra)
        Type: general
      – SubjectFull: Intersection homology theory
        Type: general
    Titles:
      – TitleFull: Lecture Notes On Local Rings
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: Birger Iversen
      – PersonEntity:
          Name:
            NameFull: Holger Andreas Nielsen
      – PersonEntity:
          Name:
            NameFull: Birger Iversen
      – PersonEntity:
          Name:
            NameFull: Holger Andreas Nielsen
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2014
            – D: 15
              M: 07
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789814603652
            – Type: isbn-electronic
              Value: 9789814603669
            – Type: isbn-electronic
              Value: 9789814603676
          Titles:
            – TitleFull: Lecture Notes On Local Rings
              Type: main
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