Lattice Ordered Groups is popular PDF and ePub book, written by M.E Anderson in 2012-12-06, it is a fantastic choice for those who relish reading online the Computers genre. Let's immerse ourselves in this engaging Computers book by exploring the summary and details provided below. Remember, Lattice Ordered Groups can be Read Online from any device for your convenience.
Lattice Ordered Groups Book PDF Summary
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].
Detail Book of Lattice Ordered Groups PDF
- Author : M.E Anderson
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789400928718
- Genre : Computers
- Total Page : 197 pages
- Language : English
- PDF File Size : 9,8 Mb
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