The Theory of Lattice-Ordered Groups
Author:   V.M. Kopytov ,  N.Ya. Medvedev
Publisher:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1994
Volume:   307
ISBN:  

9789048144747


Pages:   400
Publication Date:   08 December 2010
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Theory of Lattice-Ordered Groups


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Overview

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.

Full Product Details

Author:   V.M. Kopytov ,  N.Ya. Medvedev
Publisher:   Springer
Imprint:   Springer
Edition:   Softcover reprint of hardcover 1st ed. 1994
Volume:   307
Dimensions:   Width: 15.50cm , Height: 2.10cm , Length: 23.50cm
Weight:   0.640kg
ISBN:  

9789048144747


ISBN 10:   9048144744
Pages:   400
Publication Date:   08 December 2010
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

1 Lattices.- 2 Lattice-ordered groups.- 3 Convex l-subgroups.- 4 Ordered permutation groups.- 5 Right-ordered groups.- 6 Totally ordered 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.

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