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Ordered Algebraic Structures

The 1991 Conrad Conference

  • Book
  • © 1993

Overview

Editors:
  1. J. Martinez

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

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  2. C. Holland

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

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (14 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Groups & Vector Spaces

    1. Front Matter

      Pages 1-1
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    2. Isotone Projection Cones

      • S. J. Bernau
      Pages 3-10

    3. Torsion Classes of Vector Lattices

      • P. F. Conrad, S. M. Lin, D. G. Nelson
      Pages 11-30

    4. Disjoint Conjugate Chains

      • Michael R. Darnel
      Pages 31-49

    5. Big Subgroups of Automorphism Groups of Doubly Homogeneous Chains

      • A. M. W. Glass, Stephen H. McCleary
      Pages 51-71

    6. Orderable Groups Satisfying an Engel Condition

      • Y. K. Kim, A. H. Rhemtulla
      Pages 73-79

    7. On Covers in the Lattice of Quasivarieties of l-Groups

      • N. Ya. Medvedev
      Pages 81-96

  3. Rings

    1. Front Matter

      Pages 97-97
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    2. Ordered Rings of Generalized Power Series

      • A. Benhissi, P. Ribenboim
      Pages 99-109

    3. Natural Partial Orders on Division Rings with Involution

      • John Dauns
      Pages 111-131

    4. Functorial Rings of Quotients I

      • Anthony W. Hager, Jorge Martinez
      Pages 133-157

    5. Semiprime f-Rings That Are Subdirect Products of Valuation Domains

      • Melvin Henriksen, Suzanne Larson
      Pages 159-168

    6. Piecewise polynomial functions

      • Niels Schwartz
      Pages 169-202

    7. Central f-Elements in Lattice-Ordered Algebras

      • Stuart A. Steinberg
      Pages 203-223

    8. Archimedean Almost f-Algebras that Arise as Generalized Semigroup Rings

      • Piotr J. Wojciechowski
      Pages 225-233

    9. A Characterization of Local-Global f-Rings

      • Scott D. Woodward
      Pages 235-249

  4. Back Matter

    Pages 251-256
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Keywords

About this book

This volume contains a selection of papers presented at the 1991 Conrad Conference, held in Gainesville, Florida, USA, in December, 1991. Together, these give an overview of some recent advances in the area of ordered algebraic structures. The first part of the book is devoted to ordered permutation groups and universal, as well as model-theoretic, aspects. The second part deals with material variously connected to general topology and functional analysis. Collectively, the contents of the book demonstrate the wide applicability of order-theoretic methods, and how ordered algebraic structures have connections with many research disciplines.
For researchers and graduate students whose work involves ordered algebraic structures.

Editors and Affiliations

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

    J. Martinez

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

    C. Holland

Bibliographic Information

  • Book Title: Ordered Algebraic Structures

  • Book Subtitle: The 1991 Conrad Conference

  • Editors: J. Martinez, C. Holland

  • DOI: https://doi.org/10.1007/978-94-011-1723-4

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: Kluwer Academic Publishers 1993

  • Hardcover ISBN: 978-0-7923-2258-0Published: 30 April 1993

  • Softcover ISBN: 978-94-010-4755-5Published: 28 September 2012

  • eBook ISBN: 978-94-011-1723-4Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XIII, 256

  • Topics: Order, Lattices, Ordered Algebraic Structures, Topology, Functional Analysis

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