Ordered Algebraic Structures | Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988 | ISBN 9789400924727

Ordered Algebraic Structures

Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988

herausgegeben von Jorge Martínez
Buchcover Ordered Algebraic Structures  | EAN 9789400924727 | ISBN 94-009-2472-0 | ISBN 978-94-009-2472-7

Ordered Algebraic Structures

Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988

herausgegeben von Jorge Martínez

Inhaltsverzeichnis

  • 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.