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Infinite abelian groups

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Author(s): Irving Kaplansky
Publisher: Michigan
Year: 1965

Language: English

Title page
1. Introduction
2. Examples of Abelian Groups
3. Torsion Groups
4. Zorn's Lemma
5. Divisible Groups
6. Three Test Problems
7. Pure Subgroups
8. Groups of Bounded Order
9. Height
10. Direct Sums of Cyclic Groups
11. Ulm's Theorem
12. Modules and Linear Transformations
13. Banach Spaces
14. Valuation Rings
15. Torsion-free Modules
16. Complete Modules
17. The Algebraic Structure of Compact Abelian Groups
18. Characteristic Submodules
19. The Ring of Endomorphisms
20. Guide to the Literature
Bibliography
Index