Ebook: Lattice-Ordered Groups: Advances and Techniques

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Content:
Front Matter....Pages i-xix
Elementary Facts....Pages 1-10
Homomorphisms, Prime Subgroups, Values and Structure Theorems....Pages 11-22
Lattice-Ordered Permutation Groups....Pages 23-40
Model Theory of Abelian l-Groups....Pages 41-79
Groups of Divisibility: A Unifying Concept for Integral Domains and Partially Ordered Groups....Pages 80-104
The Lattice of Convex l-Subgroups of a Lattice-Ordered Group....Pages 105-127
Torsion Theory of l-Groups....Pages 128-141
Completions of l-Groups....Pages 142-174
Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices....Pages 175-205
Free Lattice-Ordered Groups....Pages 206-227
Varieties of Lattice-Ordered Groups....Pages 228-277
Free Products in Varieties of Lattice-Ordered Groups....Pages 278-307
Amalgamations of Lattice-Ordered Groups....Pages 308-327
Generators and Relations in Lattice-Ordered Groups: Decision Problems and Embedding Theorems....Pages 328-346
Back Matter....Pages 347-380

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Content:
Front Matter....Pages i-xix
Elementary Facts....Pages 1-10
Homomorphisms, Prime Subgroups, Values and Structure Theorems....Pages 11-22
Lattice-Ordered Permutation Groups....Pages 23-40
Model Theory of Abelian l-Groups....Pages 41-79
Groups of Divisibility: A Unifying Concept for Integral Domains and Partially Ordered Groups....Pages 80-104
The Lattice of Convex l-Subgroups of a Lattice-Ordered Group....Pages 105-127
Torsion Theory of l-Groups....Pages 128-141
Completions of l-Groups....Pages 142-174
Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices....Pages 175-205
Free Lattice-Ordered Groups....Pages 206-227
Varieties of Lattice-Ordered Groups....Pages 228-277
Free Products in Varieties of Lattice-Ordered Groups....Pages 278-307
Amalgamations of Lattice-Ordered Groups....Pages 308-327
Generators and Relations in Lattice-Ordered Groups: Decision Problems and Embedding Theorems....Pages 328-346
Back Matter....Pages 347-380
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