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

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Content:
Front Matter....Pages i-xx
Front Matter....Pages 1-1
Lattice-Ordered Groups of Divisibility: An Expository Introduction....Pages 3-9
Universal Aspects of the Theory of Lattice Ordered Groups....Pages 11-49
Recent Results on the Free Lattice-Ordered Group over a Right-Orderable Group....Pages 51-57
Non-Amalgamation and Conjugation for ?-Metabelian Lattice-Ordered Groups....Pages 59-64
Periodic Extensions of Ordered Groups....Pages 65-69
The Gate Completion G: of a Lattice-Ordered Permutation Group....Pages 71-92
Telling Left from Right....Pages 93-97
Applications of Spaces with Filters to Archimedean ?-Groups with Weak Unit....Pages 99-112
Prime Ideal and Sikorski Extension Theorems for Some ?-Groups....Pages 113-122
Some Applications of Definable Spine Analysis in Ordered Abelian Groups....Pages 123-128
Front Matter....Pages 129-129
Ordered Algebraic Structures in Analysis....Pages 131-142
Rings of Continuous Functions from an Algebraic Point of View....Pages 143-174
On Some Classes of Lattice-Ordered Algebras....Pages 175-179
Primary ?-ideals in a class of f-rings....Pages 181-186
Epimorphisms of f-Rings....Pages 187-195
Representation of a real polynomial f(X) as a sum of 2m-th powers of rational functions....Pages 197-207
Partially Ordered *-Division Rings....Pages 209-228
Lattice Ordered Division Rings Exist....Pages 229-234
Vector-Lattices and a Problem in Geometry....Pages 235-245
Banaschewski Functions and Ring-Embeddings....Pages 247-255
Back Matter....Pages 263-281
On Orderpotent Rings....Pages 257-262

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Content:
Front Matter....Pages i-xx
Front Matter....Pages 1-1
Lattice-Ordered Groups of Divisibility: An Expository Introduction....Pages 3-9
Universal Aspects of the Theory of Lattice Ordered Groups....Pages 11-49
Recent Results on the Free Lattice-Ordered Group over a Right-Orderable Group....Pages 51-57
Non-Amalgamation and Conjugation for ?-Metabelian Lattice-Ordered Groups....Pages 59-64
Periodic Extensions of Ordered Groups....Pages 65-69
The Gate Completion G: of a Lattice-Ordered Permutation Group....Pages 71-92
Telling Left from Right....Pages 93-97
Applications of Spaces with Filters to Archimedean ?-Groups with Weak Unit....Pages 99-112
Prime Ideal and Sikorski Extension Theorems for Some ?-Groups....Pages 113-122
Some Applications of Definable Spine Analysis in Ordered Abelian Groups....Pages 123-128
Front Matter....Pages 129-129
Ordered Algebraic Structures in Analysis....Pages 131-142
Rings of Continuous Functions from an Algebraic Point of View....Pages 143-174
On Some Classes of Lattice-Ordered Algebras....Pages 175-179
Primary ?-ideals in a class of f-rings....Pages 181-186
Epimorphisms of f-Rings....Pages 187-195
Representation of a real polynomial f(X) as a sum of 2m-th powers of rational functions....Pages 197-207
Partially Ordered *-Division Rings....Pages 209-228
Lattice Ordered Division Rings Exist....Pages 229-234
Vector-Lattices and a Problem in Geometry....Pages 235-245
Banaschewski Functions and Ring-Embeddings....Pages 247-255
Back Matter....Pages 263-281
On Orderpotent Rings....Pages 257-262
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