Ordered Algebraic Structures

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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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.

• Algebraic structure
• Lattice
• Permutation
• Vector space
• algebra
• functional analysis

• 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

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