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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Lattice-Ordered Groups: An Introduction

Lattice-Ordered Groups: An Introduction

Anderson, M. E.
Feil, T. H.

Hardcover

Series: Reidel Texts in the Mathematical Sciences, Book 4

General ComputersGeneral Gardening

ISBN10: 9027726434
ISBN13: 9789027726438
Publisher: Springer Nature
Published: Jan 31 1988
Pages: 204
Weight: 1.02
Height: 0.50 Width: 6.14 Depth: 9.21
Language: English
The study of groups equipped with a compatible lattice order (lattice-ordered groups or I!-groups) has arisen in a number of different contexts. Examples of this include the study of ideals and divisibility, dating back to the work of Dedekind and continued by Krull; the pioneering work of Hahn on totally ordered abelian groups; and the work of Kantorovich and other analysts on partially ordered function spaces. After the Second World War, the theory of lattice-ordered groups became a subject of study in its own right, following the publication of fundamental papers by Birkhoff, Nakano and Lorenzen. The theory blossomed under the leadership of Paul Conrad, whose important papers in the 1960s provided the tools for describing the structure for many classes of I!-groups in terms of their convex I!-subgroups. A particularly significant success of this approach was the generalization of Hahn's embedding theorem to the case of abelian lattice-ordered groups, work done with his students John Harvey and Charles Holland. The results of this period are summarized in Conrad's blue notes [C].

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