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One-Dimensional Cohen-Macaulay Rings

  • Book
  • © 1973

Overview

Authors:
  1. Eben Matlis

Part of the book series: Lecture Notes in Mathematics (LNM, volume 327)

  • 11k Accesses

  • 88 Citations

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XII
    Download chapter PDF

  2. h-Divisible and cotorsion modules

    • Eben Matlis
    Pages 1-10

  3. Completions

    • Eben Matlis
    Pages 11-27

  4. Compatible extensions

    • Eben Matlis
    Pages 28-33

  5. Localizations

    • Eben Matlis
    Pages 34-41

  6. Artinian divisible modules

    • Eben Matlis
    Pages 42-55

  7. Strongly unramified ring extensions

    • Eben Matlis
    Pages 56-67

  8. The closed components of R

    • Eben Matlis
    Pages 68-78

  9. Simple divisible modules

    • Eben Matlis
    Pages 79-84

  10. Semi-simple and uniserial divisible modules

    • Eben Matlis
    Pages 85-89

  11. The integral closure

    • Eben Matlis
    Pages 90-95

  12. The primary decomposition

    • Eben Matlis
    Pages 96-102

  13. The first neighborhood ring

    • Eben Matlis
    Pages 103-115

  14. Gorenstein rings

    • Eben Matlis
    Pages 116-125

  15. Multiplicities

    • Eben Matlis
    Pages 126-140

  16. The canonical ideal of R

    • Eben Matlis
    Pages 141-152

  17. Back Matter

    Pages 153-157
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Bibliographic Information

  • Book Title: One-Dimensional Cohen-Macaulay Rings

  • Authors: Eben Matlis

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0061666

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1973

  • Softcover ISBN: 978-3-540-06327-8Published: 04 June 1973

  • eBook ISBN: 978-3-540-46923-0Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: 160

  • Topics: Algebra

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