Partially ordered groups

✍ Scribed by A M W Glass, Glass, Regius Professor of Mathematics John M Howie

Publisher: World Scientific Publishing Company
Year: 1999
Tongue: English
Leaves: 316
Series: Series in algebra vol. 7
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

Content: 1. Definitions and Examples --
2. Basic Properties --
3. Values, Primes and Polars --
4. Abelian and Normal-valued Lattice-ordered Groups --
5. Archimedean Function Groups --
6. Soluble Right Partially Ordered Groups & Generalisations --
7. Permutations --
8. Applications --
9. Completions --
10. Varieties of Lattice-ordered Groups --
11. Unsolved Problems.

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