Ordered Algebraic Structures Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988 / edited by Jorge Martínez.

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Bibliographic Details
Corporate Author: SpringerLink (Online service)
Other Authors: Martínez, Jorge (Editor)
Format: eBook
Language:English
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1989.
Edition:1st ed. 1989.
Series:Mathematics and Its Applications ; 55
Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
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Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • One: Groups
  • Lattice-Ordered Groups of Divisibility: An Expository Introduction.
  • Universal Aspects of the Theory of Lattice-Ordered Groups.
  • Recent Results on the Free Lattice-Ordered Group over a Right-Order able Group.
  • Non-Amalgamation and Conjugation for ?-Metabelian Lattice-Ordered Groups.
  • Periodic Extensions of Ordered Groups.
  • The Gate Completion G: of a Lattice-Ordered Permutation Group.
  • Telling Left from Right.
  • Applications of Spaces with Filters to Archimedean ?-Groups with Weak Unit.
  • Prime Ideal and Sikorski Extension Theorems for some ?-Groups.
  • Some Applications of Definable Spine Analysis in Ordered Abelian Groups.
  • Two: Rings
  • Ordered Algebraic Structures in Analysis.
  • Rings of Continuous Functions from an Algebraic Point of View.
  • On Some Classes of Lattice-Ordered Algebras.
  • Primary ?-ideals in a class of f-rings.
  • Epimorphisms of f-rings.
  • Representation of a Real Polynomial f(X) as a Sum of 2m-th Powers of Rational Functions.
  • Partially Ordered *-Division Rings.
  • Lattice-Ordered Division Rings Exist.
  • Vector-Lattices and a Problem in Geometry.
  • Banaschewski Functions and Ring-Embeddings.
  • On Orderpotent Rings.
  • A Sampling of Open Problems.