Lattice-Ordered Groups [E-Book] : An Introduction / by Marlow Anderson, Todd Feil
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 pion...
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Full text |
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Personal Name(s): | Anderson, Marlow, author |
Feil, Todd, author | |
Imprint: |
Dordrecht :
Springer,
1988
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Physical Description: |
204 p. online resource. |
Note: |
englisch |
ISBN: |
9789400928718 |
DOI: |
10.1007/978-94-009-2871-8 |
Series Title: |
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Reidel Texts in the Mathematical Sciences, A Graduate-Level Book Series ;
4 |
Subject (LOC): |
- 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.