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Recently the theory of partially ordered groups has been used by analysts, algebraists, topologists and model theorists. This book presents the most important results and topics in the theory with proofs that rely on (and interplay with) other areas of mathematics. It concludes with a list of some unsolved problems for the reader to tackle. In stressing both the special techniques of the discipline and the overlap with other areas of pure mathematics, the book should be of interest to a wide audience in diverse areas of mathematics.
Contents:
- Definitions and Examples
- Basic Properties
- Values, Primes and Polars
- Abelian and Normal-Valued Lattice-Ordered Groups
- Archimedean Function Groups
- Soluble Right Partially Ordered Groups and Generalisations
- Permutations
- Applications
- Completions
- Varieties of Lattice-Ordered Groups
- Unsolved Problems
Readership: Pure mathematicians.
