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Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

Maximal Cohen-Macaulay Modules over Cohen-Macaulay Rings

$60.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: September 1990
  • availability: Available
  • format: Paperback
  • isbn: 9780521356947

$ 60.99 (C)

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About the Authors
  • The purpose of these notes is to explain in detail some topics on the intersection of commutative algebra, representation theory and singularity theory. They are based on lectures given in Tokyo, but also contain new research. It is the first cohesive account of the area and will provide a useful synthesis of recent research for algebraists.

    Reviews & endorsements

    "In this excellently written book the author presents all the significant algebraic results on this topic....This book gives a careful, self-contained introduction to the theory of maximal Cohen-Macaulay modules readable by research students with thorough knowledge in commutative and general algebra; but it also may serve as a reference work." JÜrgen Herzog, Mathematical Reviews

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    Product details

    • Date Published: September 1990
    • format: Paperback
    • isbn: 9780521356947
    • length: 188 pages
    • dimensions: 228 x 153 x 15 mm
    • weight: 0.27kg
    • availability: Available
  • Table of Contents

    1. Preliminaries
    2. AR sequences and irreducible morphisms
    3. Isolated singularities
    4. Auslander categories
    5. AR quivers
    6. The Brauer-Thrall theorem
    7. Matrix factorizations
    8. Simple singularities
    9. One-dimensional Cm rings of finite representation type
    10. McKay graphs
    11. Two-dimensional CM rings of finite representation type
    12. Knörrer's periodicity
    13. Grothendieck groups
    14. CM modules on quadrics
    15. Graded CM modules on graded CM rings
    16. CM modules on toric singularities
    17. Homogeneous CM rings of finite representation type

  • Author

    Y. Yoshino

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