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Ordered Algebraic Structures

Proceedings of the Gainesville Conference Sponsored by the University of Florida 28th February — 3rd March, 2001

  • Conference proceedings
  • © 2002

Overview

Editors:
  1. Jorge Martínez

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

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Part of the book series: Developments in Mathematics (DEVM, volume 7)

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Table of contents (17 papers)

  1. Front Matter

    Pages i-xi
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  2. Surveys & Expositions

    1. Front Matter

      Pages 1-1
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    2. The Bornological Tensor Product of two Riesz Spaces

      • G. Buskes, A. van Rooij
      Pages 3-9

    3. Old and New Unsolved Problems in Lattice-Ordered Rings that need not be f-Rings

      • Melvin Henriksen
      Pages 11-17

    4. A Survey of Residuated Lattices

      • P. Jipsen, C. Tsinakis
      Pages 19-56

    5. MV-Algebras and Abelian l-Groups: a Fruitful Interaction

      • Vincenzo Marra, Daniele Mundici
      Pages 57-88

    6. Hull Classses of Archimedean Lattice-Ordered Groups with Unit: A Survey

      • Jorge Martínez
      Pages 89-121

    7. Surveying Lattice-Ordered Fields

      • R. H. Redfield
      Pages 123-153

  3. Research Articles

    1. Front Matter

      Pages 155-155
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    2. Stone’s Real Gelfand Duality in Pointfree Topology

      • B. Banaschewski
      Pages 157-177

    3. The Range of Lattice Homomorphisms on f-Algebras

      • Karim Boulabiar
      Pages 179-188

    4. The Bornological Tensor Product of two Riesz spaces: Proof and Background Material

      • G. Buskes, A. van Rooij
      Pages 189-203

    5. Non-distributive Cancellative Residuated Lattices

      • James A. Cole
      Pages 205-212

    6. Reconstructing C(G) from a Plenary Subset

      • Michael R. Darnel
      Pages 213-230

    7. The Undecidability of the Word Problem for Distributive Residuated Lattices

      • Nikolaos Galatos
      Pages 231-243

    8. Least Integer Closed Groups

      • Anthony W. Hager, Chawne M. Kimber, Warren Wm. McGovern
      Pages 245-260

    9. Structure Spaces of Maximal l-Ideals of Lattice-Ordered Rings

      • J. Ma, P. Wojciechowski
      Pages 261-274

    10. Polar Functions, I: The Summand-Inducing Hull of an Archimedean l-Group with Unit

      • Jorge Martínez
      Pages 275-299

    11. A Priestley-type Method for Generating Free l-Groups

      • Néstor G. Martínez, Alejandro Petrovich
      Pages 301-312

    12. On the Flatness of the Epimorphic Hull of a Ring of Continuous Functions

      • R. Raphael, R. G. Woods
      Pages 313-321
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Keywords

About this book

From the 28th of February through the 3rd of March, 2001, the Department of Math­ ematics of the University of Florida hosted a conference on the many aspects of the field of Ordered Algebraic Structures. Officially, the title was "Conference on Lattice­ Ordered Groups and I-Rings", but its subject matter evolved beyond the limitations one might associate with such a label. This volume is officially the proceedings of that conference, although, likewise, it is more accurate to view it as a complement to that event. The conference was the fourth in wh at has turned into aseries of similar conferences, on Ordered Algebraic Structures, held in consecutive years. The first, held at the University of Florida in Spring, 1998, was a modest and informal affair. The fifth is in the final planning stages at this writing, for March 7-9, 2002, at Vanderbilt University. And although these events remain modest and reasonably informal, their scope has broadened, as they have succeeded in attracting mathematicians from other, related fields, as weIl as from more distant lands.

Editors and Affiliations

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

    Jorge Martínez

Bibliographic Information

  • Book Title: Ordered Algebraic Structures

  • Book Subtitle: Proceedings of the Gainesville Conference Sponsored by the University of Florida 28th February — 3rd March, 2001

  • Editors: Jorge Martínez

  • Series Title: Developments in Mathematics

  • DOI: https://doi.org/10.1007/978-1-4757-3627-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media Dordrecht 2002

  • Hardcover ISBN: 978-1-4020-0752-1Published: 31 August 2002

  • Softcover ISBN: 978-1-4419-5225-7Published: 03 December 2010

  • eBook ISBN: 978-1-4757-3627-4Published: 14 March 2013

  • Series ISSN: 1389-2177

  • Series E-ISSN: 2197-795X

  • Edition Number: 1

  • Number of Pages: XII, 322

  • Topics: Order, Lattices, Ordered Algebraic Structures, Group Theory and Generalizations, Topology

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