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Lattice-Ordered Groups

Advances and Techniques

  • Book
  • © 1989

Overview

Editors:
  1. A. M. W. Glass

    1. Department of Mathematics and Statistics, Bowling Green State University, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. W. Charles Holland

    1. Department of Mathematics and Statistics, Bowling Green State University, USA

    View editor publications

    You can also search for this editor in PubMed   Google Scholar

Part of the book series: Mathematics and Its Applications (MAIA, volume 48)

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xix
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  2. Elementary Facts

    • A. M. W. Glass, W. Charles Holland
    Pages 1-10

  3. Homomorphisms, Prime Subgroups, Values and Structure Theorems

    • A. M. W. Glass, W. Charles Holland
    Pages 11-22

  4. Lattice-Ordered Permutation Groups

    • W. Charles Holland
    Pages 23-40

  5. Model Theory of Abelian l-Groups

    • Volker Weispfenning
    Pages 41-79

  6. Groups of Divisibility: A Unifying Concept for Integral Domains and Partially Ordered Groups

    • Joe L. Mott
    Pages 80-104

  7. The Lattice of Convex l-Subgroups of a Lattice-Ordered Group

    • Marlow E. Anderson, Paul F. Conrad, Jorge Martinez
    Pages 105-127

  8. Torsion Theory of l-Groups

    • Jorge Martinez
    Pages 128-141

  9. Completions of l-Groups

    • Richard N. Ball
    Pages 142-174

  10. Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices

    • Richard N. Ball, Anthony W. Hager
    Pages 175-205

  11. Free Lattice-Ordered Groups

    • Stephen H. McCleary
    Pages 206-227

  12. Varieties of Lattice-Ordered Groups

    • Norman R. Reilly
    Pages 228-277

  13. Free Products in Varieties of Lattice-Ordered Groups

    • Wayne B. Powell, Constantine Tsinakis
    Pages 278-307

  14. Amalgamations of Lattice-Ordered Groups

    • Constantine Tsinakis, Wayne B. Powell
    Pages 308-327

  15. Generators and Relations in Lattice-Ordered Groups: Decision Problems and Embedding Theorems

    • A. M. W. Glass
    Pages 328-346

  16. Back Matter

    Pages 347-380
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Keywords

Editors and Affiliations

  • Department of Mathematics and Statistics, Bowling Green State University, USA

    A. M. W. Glass, W. Charles Holland

Bibliographic Information

  • Book Title: Lattice-Ordered Groups

  • Book Subtitle: Advances and Techniques

  • Editors: A. M. W. Glass, W. Charles Holland

  • Series Title: Mathematics and Its Applications

  • DOI: https://doi.org/10.1007/978-94-009-2283-9

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1989

  • Hardcover ISBN: 978-0-7923-0116-5Published: 31 March 1989

  • Softcover ISBN: 978-94-010-7524-4Published: 20 September 2011

  • eBook ISBN: 978-94-009-2283-9Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XX, 380

  • Topics: Order, Lattices, Ordered Algebraic Structures, Algebra

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