Titlebook: Lattice-Ordered Groups; An Introduction Marlow Anderson,Todd Feil Book 1988 D. Reidel Publishing Company, Dordrecht, Holland 1988 Finite.Mo

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,Completions of Representable and Archimedean ?-groups,hapters 2 through 5. Can the target ?-groups for these representation theorems be described algebraically in terms of the ?-group to be represented? One might naturally expect such results to be phrased in terms of the larger ?-group being complete in some sense.

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Book 1988xamples 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, th

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Lattice-Ordered Groups978-94-009-2871-8Series ISSN 0921-9315

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Fundamentals,In this section we shall develop the basic definitions and notations used in the theory of lattice-ordered groups, and provide a set of examples whose significance will be more fully appreciated when we have proved the basic representation theorems for lattice-ordered groups in Chapters 2 through 5.