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  • Book
  • © 1990

The Dilworth Theorems

Selected Papers of Robert P. Dilworth

Birkhäuser

Part of the book series: Contemporary Mathematicians (CM)

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Table of contents (48 chapters)

  1. Front Matter

    Pages i-xxvi
  2. Chain Partitions in Ordered Sets

    1. Front Matter

      Pages 1-6
    2. Reprinted Papers

    3. Articles

      1. The Impact of the Chain Decomposition Theorem on Classical Combinatorics
        • Kenneth P. Bogart, Curtis Greene, Joseph P. S. Kung
        Pages 19-29
  3. Complementation

    1. Front Matter

      Pages 39-40
    2. Reprinted Papers

      1. Lattices with Unique Complements
        • R. P. Dilworth
        Pages 41-72
      2. On Complemented Lattices
        • R. P. Dilworth
        Pages 73-78
    3. Articles

      1. Uniquely Complemented Lattices
        • M. E. Adams
        Pages 79-84
      2. On Orthomodular Lattices
        • Gudrun Kalmbach
        Pages 85-87
  4. Decomposition Theory

    1. Front Matter

      Pages 89-92
    2. Reprinted Papers

      1. The Arithmetical Theory of Birkhoff Lattices
        • R. P. Dilworth
        Pages 101-114
      2. Ideals in Birkhoff Lattices
        • R. P. Dilworth
        Pages 115-143
      3. Decomposition Theory for Lattices without Chain Conditions
        • R. P. Dilworth, Peter Crawley
        Pages 145-166
      4. Note on the Kurosch-Ore Theorem
        • R. P. Dilworth
        Pages 167-171
      5. Structure and Decomposition Theory of Lattices
        • R. P. Dilworth
        Pages 173-186
    3. Articles

Editors and Affiliations

  • Department of Mathematics and Computer Science, Dartmouth College, Hanover, USA

    Kenneth P. Bogart

  • Department of Mathematics, University of Hawaii, Honolulu, USA

    Ralph Freese

  • Department of Mathematics, University of North Texas, Denton, USA

    Joseph P. S. Kung

Bibliographic Information

  • Book Title: The Dilworth Theorems

  • Book Subtitle: Selected Papers of Robert P. Dilworth

  • Editors: Kenneth P. Bogart, Ralph Freese, Joseph P. S. Kung

  • Series Title: Contemporary Mathematicians

  • DOI: https://doi.org/10.1007/978-1-4899-3558-8

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1990

  • Softcover ISBN: 978-1-4899-3560-1Published: 30 July 2013

  • eBook ISBN: 978-1-4899-3558-8Published: 22 November 2013

  • Series ISSN: 0884-7037

  • Edition Number: 1

  • Number of Pages: XXVI, 465

  • Number of Illustrations: 2 b/w illustrations

  • Topics: Science, Humanities and Social Sciences, multidisciplinary

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access