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  • © 1978

Chain Conjectures in Ring Theory

An Exposition of Conjectures on Catenary Chains

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Part of the book series: Lecture Notes in Mathematics (LNM, volume 647)

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Table of contents (16 chapters)

  1. Front Matter

    Pages I-IX
  2. Introduction

    • Louis J. Ratliff Jr.
    Pages 1-4
  3. Definitions and basic results

    • Louis J. Ratliff Jr.
    Pages 5-13
  4. Some recently solved problems

    • Louis J. Ratliff Jr.
    Pages 14-19
  5. Some (catenary) chain conjectures

    • Louis J. Ratliff Jr.
    Pages 20-44
  6. The chain conjecture

    • Louis J. Ratliff Jr.
    Pages 45-52
  7. The Depth Conjecture and the weak Depth Conjecture

    • Louis J. Ratliff Jr.
    Pages 53-56
  8. The H-conjecture

    • Louis J. Ratliff Jr.
    Pages 57-62
  9. The descended GB-conjecture and the GB-conjecture

    • Louis J. Ratliff Jr.
    Pages 63-66
  10. The upper conjecture

    • Louis J. Ratliff Jr.
    Pages 70-74
  11. The taut-level conjecture

    • Louis J. Ratliff Jr.
    Pages 75-78
  12. The catenary chain conjecture

    • Louis J. Ratliff Jr.
    Pages 79-85
  13. The normal chain conjecture

    • Louis J. Ratliff Jr.
    Pages 86-87
  14. Comments on (3.3.1) and conjecture (K)

    • Louis J. Ratliff Jr.
    Pages 88-89
  15. Some examples

    • Louis J. Ratliff Jr.
    Pages 90-92
  16. Some related questions

    • Louis J. Ratliff Jr.
    Pages 93-98
  17. Back Matter

    Pages 99-133

Keywords

  • Catenary
  • Kettenbedingung
  • Kommutativer Ring
  • ring theory

Bibliographic Information

  • Book Title: Chain Conjectures in Ring Theory

  • Book Subtitle: An Exposition of Conjectures on Catenary Chains

  • Authors: Louis J. Ratliff

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0067924

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1978

  • Softcover ISBN: 978-3-540-08758-8Published: 01 April 1978

  • eBook ISBN: 978-3-540-35874-9Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: X, 138

  • Topics: Mathematics

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