Lattice-Ordered Groups

Advances and Techniques
Herausgegeben:Glass, A. M.; Holland, W. C.

• Broschiertes Buch

Produktbeschreibung

0 Elementary Facts.- 1 Homomorphisms, Prime Subgroups, Values and Structure Theorems.- 2 Lattice-Ordered Permutation Groups.- 3 Model Theory of Abelian l-Groups.- 4 Groups of Divisibility: A Unifying Concept for Integral Domains and Partially Ordered Groups.- 5 The Lattice of Convex l-Subgroups of a Lattice-Ordered Group.- 6 Torsion Theory of l-Groups.- 7 Completions of l-Groups.- 8 Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices.- 9 Free Lattice-Ordered Groups.- 10 Varieties of Lattice-Ordered Groups Norman.- 11 Free Products in Varieties of Lattice-Ordered Groups.- 12 Amalgamations of Lattice-Ordered Groups.- 13 Generators and Relations in Lattice-Ordered Groups: Decision Problems and Embedding Theorems.

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Produktdetails

• Mathematics and Its Applications 48
• Verlag: Springer / Springer Netherlands
• Artikelnr. des Verlages: 978-94-010-7524-4
• Softcover reprint of the original 1st ed. 1989
• Seitenzahl: 404
• Erscheinungstermin: 20. September 2011
• Englisch
• Abmessung: 235mm x 155mm x 22mm
• Gewicht: 610g
• ISBN-13: 9789401075244
• ISBN-10: 9401075247
• Artikelnr.: 39505494

Inhaltsangabe

0 Elementary Facts.- 1 Homomorphisms, Prime Subgroups, Values and Structure Theorems.- 2 Lattice-Ordered Permutation Groups.- 3 Model Theory of Abelian l-Groups.- 4 Groups of Divisibility: A Unifying Concept for Integral Domains and Partially Ordered Groups.- 5 The Lattice of Convex l-Subgroups of a Lattice-Ordered Group.- 6 Torsion Theory of l-Groups.- 7 Completions of l-Groups.- 8 Characterization of Epimorphisms in Archimedean Lattice-Ordered Groups and Vector Lattices.- 9 Free Lattice-Ordered Groups.- 10 Varieties of Lattice-Ordered Groups Norman.- 11 Free Products in Varieties of Lattice-Ordered Groups.- 12 Amalgamations of Lattice-Ordered Groups.- 13 Generators and Relations in Lattice-Ordered Groups: Decision Problems and Embedding Theorems.