The Theory of Lattice-Ordered Groups by V.M. KopytovThe Theory of Lattice-Ordered Groups by V.M. Kopytov

The Theory of Lattice-Ordered Groups

byV.M. Kopytov, N.Ya. Medvedev

Paperback | December 8, 2010

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This volume makes both classical and new results of the theory of lattice-ordered groups available to a wide range of mathematicians in a comprehensive way, explaining the structure of the theory as well as indicating its applications. The book contains the foundations of the theory of lattice-ordered groups, and the theory of ordered permutation groups. It describes totally-ordered and right-ordered groups, and highlights the theory of varieties and quasi-varieties of lattice-ordered groups. The distinguishing feature of this work is the group-theoretical and universal algebra attitude to the theory of lattice-ordered groups. This volume will be of interest to graduate students and researchers with a basic knowledge of group theory. It serves as an excellent introduction to the theory of partially ordered groups, and as an overview of new ideas and results in this theory.
Title:The Theory of Lattice-Ordered GroupsFormat:PaperbackDimensions:416 pagesPublished:December 8, 2010Publisher:Springer NetherlandsLanguage:English

The following ISBNs are associated with this title:

ISBN - 10:9048144744

ISBN - 13:9789048144747

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Table of Contents

Preface. Symbol Index. 1. Lattices. 2. Lattice-ordered groups. 3. Convex l-subgroups. 4. Ordered permutation groups. 5. Right-ordered groups. 6. Totally ordedered groups. 7. Embeddings of lattice-ordered groups. 8. Lattice properties in lattice-ordered groups. 9. Varieties of lattice-ordered groups. 10. Free l-groups. 11. The semigroup of l-varieties. 12. The lattice of l-varieties. 13. Ordered permutation groups and l-varieties. 14. Quasivarieties of lattice-ordered groups. Bibliography. Index.