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  • Book
  • © 1973

One-Dimensional Cohen-Macaulay Rings

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

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Table of contents (15 chapters)

  1. Front Matter

    Pages I-XII
  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. The integral closure

    • Eben Matlis
    Pages 90-95
  11. The primary decomposition

    • Eben Matlis
    Pages 96-102
  12. The first neighborhood ring

    • Eben Matlis
    Pages 103-115
  13. Gorenstein rings

    • Eben Matlis
    Pages 116-125
  14. Multiplicities

    • Eben Matlis
    Pages 126-140
  15. The canonical ideal of R

    • Eben Matlis
    Pages 141-152
  16. Back Matter

    Pages 153-157

Keywords

  • Canon
  • Cohen-Macaulayscher Ring
  • Rings
  • integral
  • localization
  • ring
  • torsion

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

Buying options

eBook USD 29.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 39.95
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions