554 Pages
by
CRC Press
560 Pages
by
CRC Press
Also available as eBook on:
Provides a thorough discussion of the orderability of a group. The book details the major developments in the theory of lattice-ordered groups, delineating standard approaches to structural and permutation representations. A radically new presentation of the theory of varieties of lattice-ordered groups is offered.;This work is intended for pure and applied mathematicians and algebraists... Read more
The interplay of algebra and order
Convex lattice-ordered subgroups
Polars and disjoint element
Complete distibutivity
Totally ordered structures
Order preserving permutations of a chain
Classes of lattice-ordered groups
Normal-valued lattice-ordered groups
Representable and abelian lattice-ordered groups
Archimedian lattice-ordered groups
Lattice-ordered varieties
Biography
Michael Darnel
"The author. . .carries the reader to the frontiers of current research. . . . . .a useful reference. "
---Mathematical Reviews
". . .includes detailedproofs of the theorems and all the material needed from partially ordered setsand lattices. "
---Analele Stiintifice
". . .an up-to-date and systematic treatment of many topics in the theory of lattice-ordered groups. "
---Acta Scientifica Matematica
