Infinite abelian groups
Book information
Description
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
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