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Lattice-Ordered Groups

Name: Lattice-Ordered Groups
Brand: Springer Netherlands
SKU: 9789027726438
Price: 38633 HUF
Availability: InStock

An Introduction

Szerző: M.E Anderson, T.H. Feil

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer Netherlands

Elérhetőség: Beszállítói készleten

Küldés 10-13 napon belül

38 633 Ft

The study of groups equipped with a compatible lattice order ("lattice-ordered groups" or "I!-groups...

Információk a könyvről

Szerző

M.E Anderson, T.H. Feil

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

oldal

204

EAN

9789027726438

ISBN

9027726434

Enbook ID

01971841

Kiadó

Springer Netherlands

Súly

473

Méretek

156 x 234 x 12

Teljes leírás

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].