|
|
|
|
| LEADER |
00000cam a2200000 a 4500 |
| 001 |
SCIDIR_ocn894772734 |
| 003 |
OCoLC |
| 005 |
20231120111917.0 |
| 006 |
m o d |
| 007 |
cr bn||||||abp |
| 007 |
cr bn||||||ada |
| 008 |
141107s1967 enk ob 000 0 eng d |
| 040 |
|
|
|a OCLCE
|b eng
|e pn
|c OCLCE
|d OPELS
|d N$T
|d E7B
|d EBLCP
|d DEBSZ
|d COO
|d OCLCQ
|d YDXCP
|d GZM
|d MERUC
|d OCLCQ
|d OCLCO
|d OCLCQ
|d LUN
|d OCLCQ
|d OCLCO
|d OCLCQ
|d OCLCO
|
| 019 |
|
|
|a 897132621
|a 898422092
|a 948809318
|
| 020 |
|
|
|a 9781483280905
|q (electronic bk.)
|
| 020 |
|
|
|a 148328090X
|q (electronic bk.)
|
| 020 |
|
|
|z 0080092063
|
| 020 |
|
|
|z 9780080092065
|
| 035 |
|
|
|a (OCoLC)894772734
|z (OCoLC)897132621
|z (OCoLC)898422092
|z (OCoLC)948809318
|
| 042 |
|
|
|a dlr
|
| 050 |
|
4 |
|a QA171
|b .F8 1960
|
| 072 |
|
7 |
|a MAT
|x 002040
|2 bisacsh
|
| 082 |
0 |
4 |
|a 512.86 UKW
|
| 084 |
|
|
|a SK 260
|2 rvk
|
| 100 |
1 |
|
|a Fuchs, L�aszl�o.
|
| 245 |
1 |
0 |
|a Abelian groups /
|c by L. Fuchs.
|
| 250 |
|
|
|a [3rd ed.].
|
| 260 |
|
|
|a Oxford ;
|a New York :
|b Pergamon Press,
|c [1967, �1960]
|
| 300 |
|
|
|a 1 online resource (367 pages)
|
| 336 |
|
|
|a text
|b txt
|2 rdacontent
|
| 337 |
|
|
|a computer
|b c
|2 rdamedia
|
| 338 |
|
|
|a online resource
|b cr
|2 rdacarrier
|
| 490 |
1 |
|
|a International Series of Monographs in Pure and Applied Mathematics, V.12
|
| 504 |
|
|
|a Includes bibliographical references.
|
| 588 |
0 |
|
|a Print version record.
|
| 506 |
|
|
|3 Use copy
|f Restrictions unspecified
|2 star
|5 MiAaHDL
|
| 533 |
|
|
|a Electronic reproduction.
|b [Place of publication not identified] :
|c HathiTrust Digital Library,
|d 2014.
|5 MiAaHDL
|
| 538 |
|
|
|a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
|u http://purl.oclc.org/DLF/benchrepro0212
|5 MiAaHDL
|
| 583 |
1 |
|
|a digitized
|c 2014
|h HathiTrust Digital Library
|l committed to preserve
|2 pda
|5 MiAaHDL
|
| 505 |
0 |
|
|a Front Cover; Abelian Groups; Copyright Page; PREFACE; Table of Contents; TABLE OF NOTATIONS; CHAPTER I. BASIC CONCEPTS. THE MOST IMPORTANT GROUPS; 1. Notation and terminology; 2. Direct sums; 3. Cyclic groups; 4. Quasicyclic groups; 5. The additive group of the rationals; 6. The p-adic integers; 7. Operator modules; 8. Linear independence and rank; Exercises; CHAPTER II. DIRECT SUM OF CYCLIC GROUPS; 9. Free (abelian) groups; 10. Finite and finitely generated groups; 11. Direct sums of cyclic p-groups; 12. Subgroups of direct sums of cyclic groups; 13. Two dual criteria for the basis.
|
| 505 |
8 |
|
|a 14. Further criteria for the existence of a basisExercises; CHAPTER III. DIVISIBLE GROUPS; 15. Divisibility by integers in groups; 16. Homomorphisms into divisible groups; 17. Systems of linear equations over divisible groups; 18. The direct summand property of divisible groups; 19. The structure theorem on divisible groups; 20. Embedding in divisible groups; Exercises; CHAPTER IV. DIRECT SUMMANDS AND PURE SUBGROUPS; 21. Direct summands; 22. Absolute direct summands; 23. Pure subgroups; 24. Bounded pure subgroups; 25. Factor groups with respect to pure subgroups.
|
| 505 |
8 |
|
|a 26. Algebraically compact groups27. Generalized pure subgroups; 28. Neat subgroups; Exercises; CHAPTER V. BASIC SUBGROUPS; 29. Existence of basic subgroups. The quasibasis; 30. Properties of basic subgroups; 31. Different basic subgroups of a group; 32. The basic subgroup as an endomorphic image; Exercises; CHAPTER VI. THE STRUCTURE OF p-GROUPS; 33. p-groups without elements of infinite height; 34. Closed p-groups; 35. The Ulm sequence; 36. Zippin's theorem; 37. Ulm's theorem; 38. Construction of groups with a prescribed Ulm sequence; 39. Non-isomorphic groups with the same Ulm sequence.
|
| 505 |
8 |
|
|a 40. Some applications41. Direct decompositions of p-groups; Exercises; CHAPTER VII. TORSION FREE GROUPS; 42. The type of elements. Groups of rank 1; 43. Indecomposable groups; 44. Torsion free groups over the p-adic integers; 45. Countable torsion free groups; 46. Completely decomposable groups; 47. Complete direct sums of infinite cyclic groups. Slender groups; 48. Homogeneous groups; 49. Separable groups; Exercises; CHAPTER VIII. MIXED GROUPS; 50. Splitting mixed groups; 51. Factor groups of free groups; 52. A characterization of arbitrary groups by matrices.
|
| 505 |
8 |
|
|a 53. Groups over the p-adic integersExercises; CHAPTER IX. HOMOMORPHISM GROUPS AND ENDOMORPHISM RINGS; 54. Homomorphism groups; 55. Endomorphism rings; 56. The endomorphism ring of p-groups; 57. Endomorphism rings with special properties; 58. Automorphism groups; 59. Fully invariant subgroups; Exercises; CHAPTER X. GROUP EXTENSIONS; 60. Extensions of groups; 61. The group of extensions; 62. Induced endomorphisms of the group of extensions; 63. Structural properties of the group of extensions; Exercises; CHAPTER XI. TENSOR PRODUCTS; 64. The tensor product; 65. The structure of tensor products.
|
| 650 |
|
0 |
|a Abelian groups.
|
| 650 |
|
6 |
|a Groupes ab�eliens.
|0 (CaQQLa)201-0000038
|
| 650 |
|
7 |
|a MATHEMATICS
|x Algebra
|x Intermediate.
|2 bisacsh
|
| 650 |
|
7 |
|a Abelian groups
|2 fast
|0 (OCoLC)fst00794345
|
| 650 |
|
7 |
|a Abelsche Gruppe
|2 gnd
|0 (DE-588)4140988-7
|
| 776 |
0 |
8 |
|i Print version:
|w (OCoLC)781421
|
| 830 |
|
0 |
|a International Series of Monographs in Pure and Applied Mathematics, V.12.
|
| 856 |
4 |
0 |
|u https://sciencedirect.uam.elogim.com/science/book/9780080092065
|z Texto completo
|
