Right-Ordered Groups

Hardcover | April 30, 1996

byV.M. Kopytov

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The notion of right-ordered groups is fundamental in theories of I-groups, ordered groups, torsion-free groups, and the theory of zero-divisors free rings, as well as in theoretical physics. Right-Ordered Groups is the first book to provide a systematic presentation of right-ordered group theory, describing all known and new results in the field. The volume addresses topics such as right-ordered groups and order permutation groups, the system of convex subgroups of a right-ordered group, and free products of right-ordered groups.

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The notion of right-ordered groups is fundamental in theories of I-groups, ordered groups, torsion-free groups, and the theory of zero-divisors free rings, as well as in theoretical physics. Right-Ordered Groups is the first book to provide a systematic presentation of right-ordered group theory, describing all known and new resul...

Format:HardcoverDimensions:260 pages, 9.02 × 5.98 × 0.27 inPublished:April 30, 1996Publisher:Springer US

The following ISBNs are associated with this title:

ISBN - 10:0306110601

ISBN - 13:9780306110603

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Table of Contents

Introduction. Systems of Convex Subgroups. Orderability Conditions. Groups of Order Automorphisms. Relatively Convex Subgroups. Orders on Free Products. Quasivarieties. Semilinearly Ordered Groups. Index.

Editorial Reviews

`A good up-to-date account of right-ordered groups...Indispensable for anyone wishing to work in this area.' London Mathematical Society, 1998