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Ordered Algebraic Structures

Proceedings of the Curaçao Conference, sponsored by the Caribbean Mathematics Foundation, June 26–30, 1995

  • Conference proceedings
  • © 1997

Overview

Editors:
  1. W. Charles Holland

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

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  2. Jorge Martinez

    1. Caribbean Mathematics Foundation, Department of Mathematics, University of Florida, Gainesville, USA

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (13 papers)

  1. Front Matter

    Pages i-ix
    Download chapter PDF

  2. A Survey of f-Rings and Some of their Generalizations

    • Melvin Henriksen
    Pages 1-26

  3. Reflections on the Global Dimensions of Rings of Continuous Functions

    • Robert T. Finn
    Pages 27-42

  4. Continuous Ultraproducts

    • Norman L. Alling
    Pages 43-79

  5. Actions on Archimedean Lattice-Ordered Groups with Strong Unit

    • Richard N. Ball, James N. Hagler
    Pages 81-121

  6. Pointfree Topology and the Spectra of f-Rings

    • Bernhard Banaschewski
    Pages 123-148

  7. Commutative Singular f-Rings

    • Robert T. Finn, Jorge Martinez, Warren W. McGovern
    Pages 149-166

  8. Torsion Classes of Lattice-Ordered Groups with Invariant Radicals

    • Paul F. Conrad, Michael R. Darnel
    Pages 167-182

  9. The Automorphism Groups of Hahn Groups

    • Manfred Droste, Rüdiger Göbel
    Pages 183-215

  10. The Laterally σ-Complete Reflection of an Archimedean Lattice-Ordered Group

    • Anthony W. Hager, Jorge Martinez
    Pages 217-236

  11. Ax-Kochen-Ershov Principles for Valued and Ordered Vector Spaces

    • Franz-Viktor Kuhlmann, Salma Kuhlmann
    Pages 237-259

  12. Quasi-Normal f-Rings

    • Suzanne Larson
    Pages 261-275

  13. Rings of Continuous Functions as Real Closed Rings

    • Niels Schwartz
    Pages 277-313

  14. On Universal Words for Automorphism Groups of Linear Orders

    • L. V. Welch, S. A. Adeleke
    Pages 315-332
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About this book

The conference on Ordered Algebraic Structures held in Curat;ao, from the 26th of June through the 30th of June, 1995, at the Avila Beach Hotel, marked the eighth year of ac­ tivities by the Caribbean Mathematics Foundation (abbr. CMF), which was the principal sponsor of this conference. CMF was inaugurated in 1988 with a conference on Ordered Algebraic Structures. During the years between these two conferences the field has changed sufficiently, both from my point of view and, I believe, that of my co-organizer, W. Charles Holland, to make one wonder about the label "Ordered Algebraic Structures" itself. We recognized this from the start, and right away this conference carried a subtitle, or, if one prefers, an agenda: we concentrated on the one hand, on traditional themes in the theory of ordered groups, including model-theoretic aspects, and, on the other hand, on matters in which topology (more precisely C(X)-style topology) and category theory would play a prominent role. Plainly, ordered algebra has many faces, and it is becoming increas­ ingly difficult to organize an intimate conference, such as the ones encouraged in the series sponsored by CMF, in this area on a broad set of themes. These proceedings reflect, accurately we think, the spirit of the conferees, but it is not a faithful record of the papers presented at the conference.

Editors and Affiliations

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

    W. Charles Holland

  • Caribbean Mathematics Foundation, Department of Mathematics, University of Florida, Gainesville, USA

    Jorge Martinez

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