Lattice-Ordered Groups: Advances and Techniques

✍ Scribed by A. M. W. Glass, W. Charles Holland (auth.), A. M. W. Glass, W. Charles Holland (eds.)

Publisher: Springer Netherlands
Year: 1989
Tongue: English
Leaves: 397
Series: Mathematics and Its Applications 48
Edition: 1
Category: Library

No coin nor oath required. For personal study only.

✦ Table of Contents

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

✦ Subjects

Order, Lattices, Ordered Algebraic Structures; Algebra

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