Infinite Abelian groups / by Irving Kaplansky.
Editor: Ann Arbor : The University of Michigan Press, c1954Descripción: v, 91 p. ; 23 cmOtra clasificación: 20Kxx1. Introduction [1] 2. Examples of Abelian Groups [2] 3. Torsion Groups [4] 4. Zorn’s Lemma [6] 5. Divisible Groups [7] 6. Three Test Problems [12] 7. Pure Subgroups [14] 8. Groups of Bounded Order [16] 9. Height [19] 10. Direct Sums of Cyclic Groups [22] 11. Ulm's Theorem [26] 12. Modules and Linear Transformations [33] 13. Banach Spaces [40] 14. Valuation Rings [42] 15. Torsion-free Modules [43] 16. Complete Modules [50] 17. The Algebraic Structure of Compact Abelian Groups [54] 18. Characteristic Submodules [56] 19. The Ring of Endomorphisms [66] 20. Guide to the Literature [73] Bibliography [81] Index [91]
| Item type | Home library | Shelving location | Call number | Materials specified | Status | Date due | Barcode | Course reserves |
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Libros
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Instituto de Matemática, CONICET-UNS | Libros ordenados por tema | 20 K17 (Browse shelf) | Available | A-734 |
1. Introduction [1] --
2. Examples of Abelian Groups [2] --
3. Torsion Groups [4] --
4. Zorn’s Lemma [6] --
5. Divisible Groups [7] --
6. Three Test Problems [12] --
7. Pure Subgroups [14] --
8. Groups of Bounded Order [16] --
9. Height [19] --
10. Direct Sums of Cyclic Groups [22] --
11. Ulm's Theorem [26] --
12. Modules and Linear Transformations [33] --
13. Banach Spaces [40] --
14. Valuation Rings [42] --
15. Torsion-free Modules [43] --
16. Complete Modules [50] --
17. The Algebraic Structure of Compact Abelian Groups [54] --
18. Characteristic Submodules [56] --
19. The Ring of Endomorphisms [66] --
20. Guide to the Literature [73] --
Bibliography [81] --
Index [91] --
MR, 16,444g
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