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Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
 
Lee Klingler Florida Atlantic University, Boca Raton, FL
Lawrence S. Levy Madison, WI
Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
eBook ISBN:  978-1-4704-0433-8
Product Code:  MEMO/176/832.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $43.80
Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
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Representation Type of Commutative Noetherian Rings III: Global Wildness and Tameness
Lee Klingler Florida Atlantic University, Boca Raton, FL
Lawrence S. Levy Madison, WI
eBook ISBN:  978-1-4704-0433-8
Product Code:  MEMO/176/832.E
List Price: $73.00
MAA Member Price: $65.70
AMS Member Price: $43.80
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 1762005; 170 pp
    MSC: Primary 13; 16;

    This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring \(\Lambda\), either the category of \(\Lambda\)-modules of finite length has wild representation type or else we can describe the category of finitely generated \(\Lambda\)-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

  • Table of Contents
     
     
    • Chapters
    • Introduction
    • 0. Preliminaries
    • 1. Dedekind-like rings
    • 2. Wildness
    • 3. Structure of a genus
    • 4. Substitute for conductor squares
    • 5. Isomorphism classes in a genus, idèle group action
    • 6. Web of class groups
    • 7. Direct sums
    • 8. Finite normalization
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 1762005; 170 pp
MSC: Primary 13; 16;

This memoir completes the series of papers beginning with [KL1,KL2], showing that, for a commutative noetherian ring \(\Lambda\), either the category of \(\Lambda\)-modules of finite length has wild representation type or else we can describe the category of finitely generated \(\Lambda\)-modules, including their direct-sum relations and local-global relations. (There is a possible exception to our results, involving characteristic 2.)

  • Chapters
  • Introduction
  • 0. Preliminaries
  • 1. Dedekind-like rings
  • 2. Wildness
  • 3. Structure of a genus
  • 4. Substitute for conductor squares
  • 5. Isomorphism classes in a genus, idèle group action
  • 6. Web of class groups
  • 7. Direct sums
  • 8. Finite normalization
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.