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

by Jorge Martínez (Editor)

Overview

Proceedings of the Caribbean Mathematics Foundation Conference, held in Curaçao, August 1988

Product Details

ISBN-13:	9780792304890
Publisher:	Springer Netherlands
Publication date:	11/30/1989
Series:	Mathematics and Its Applications , #55
Edition description:	1989
Pages:	282
Product dimensions:	6.10(w) x 9.25(h) x 0.24(d)

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.