Ordered Algebraic Structures [electronic resource] : Proceedings of the Caribbean Mathematics Foundation Conference on Ordered Algebraic Structures, Curaçao, August 1988 /

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.

Bibliographic Details

Main Authors:	Martinez, Jorge. editor., SpringerLink (Online service)
Format:	Texto biblioteca
Language:	eng
Published:	Dordrecht : Springer Netherlands, 1989
Subjects:	Mathematics., Group theory., Algebra., Ordered algebraic structures., Functional analysis., Order, Lattices, Ordered Algebraic Structures., Group Theory and Generalizations., Functional Analysis.,
Online Access:	http://dx.doi.org/10.1007/978-94-009-2472-7
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