Lattice-Ordered Groups: An Introduction

Lattice-Ordered Groups: An Introduction

by M.E Anderson, T.H. Feil

Paperback(Softcover reprint of the original 1st ed. 1988)

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Product Details

ISBN-13: 9789401077927
Publisher: Springer Netherlands
Publication date: 10/19/2011
Series: Reidel Texts in the Mathematical Sciences , #4
Edition description: Softcover reprint of the original 1st ed. 1988
Pages: 204
Product dimensions: 6.10(w) x 9.25(h) x 0.02(d)

Table of Contents

1: Fundamentals.- Section 1: Preliminaries and Basic Examples.- Section 2: Subobjects and Morphisms.- 2: Bernau's representation for Archimedean—-groups.- 3: The Conrad-Harvey-Holland Representation.- 4: Represent able and Normal-valued—-groups.- Section 1: The Lorenzen Representation for—-groups.- Section 2: Normal-valued—-groups.- 5: Holland's Embedding Theorem.- 6: Free—-groups.- 7: Varieties of—-groups.- Section 1: The lattice of Varieties.- Section 2: Covers of the Abelian Variety.- Section 3: The Cardinality of the lattice of—-group Varieties.- 8: Completions of Representable and Archimedean—-groups.- Section 1: Completions of Representable—-groups.- Section 2: Completions of Archimedean—-groups.- 9: The Lateral Completion.- 10: Finite-valued and Special-valued—-groups.- 11: Groups of Divisibility.- Appendix: A Menagerie of Examples.- Section 1: Varieties of—-groups.- Section 2: Torsion and Radical Classes of—-groups.- Section 3: Examples of Lattice-ordered Groups.- Author Index.

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