Lattice-ordered Rings and Modules

This book would fill in the gap admirably.Any algebraist or functional analyst whose work involves ordered structures would be interested in this book. That includes mathematicians who study: lattices, ordered semigroups, ordered groups, ordered rings, ordered fields, Riesz spaces, vector lattices, or Banach lattices.

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From the reviews:


"Lattice-ordered rings and modules are of interest both to algebraists and to functional analysts. Previous authors have presented only those results that are needed for the applications that they have in mind. Having a book like this one would be a great boon. Both the algebraists and the analysts would benefit from having the fundamental results all gathered together in one book. This book would fill in the gap admirably.


Any algebraist or functional analyst whose work involves ordered structures would be interested in this book. That includes mathematicians who study: lattices, ordered semigroups, ordered groups, ordered rings, ordered fields, Riesz spaces, vector lattices, or Banach lattices. It would also be useful for mathematicians who are interested in general ring theory, general group theory, matrix algebras, or function algebras (especially Banach algebras). In short, there is a wide audience who would find the tools that this book provides very useful."