| Description |
1 online resource (530 pages) : illustrations |
| Series |
Graduate studies in mathematics ; volume 100 |
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Graduate studies in mathematics ; volume 100.
|
| Contents |
""Cover""; ""Title""; ""Copyright""; ""Contents""; ""PART ONE: Noncommutative Algebra""; ""CHAPTER 1. Definitions and Examples of Groups""; ""CHAPTER 2. Subgroups and Cosets""; ""CHAPTER 3. Homomorphisms""; ""CHAPTER 4. Group Actions""; ""CHAPTER 5. The Sylow Theorems and p-groups""; ""CHAPTER 6. Permutation Groups""; ""CHAPTER 7. New Groups from Old""; ""CHAPTER 8. Solvable and Nilpotent Groups""; ""CHAPTER 9. Transfer""; ""CHAPTER 10. Operator Groups and Unique Decompositions""; ""CHAPTER 11. Module Theory without Rings""; ""CHAPTER 12. Rings, Ideals, and Modules"" |
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""CHAPTER 13. Simple Modules and Primitive Rings""""CHAPTER 14. Artinian Rings and Projective Modules""; ""CHAPTER 15. An Introduction to Character Theory""; ""PART TWO: Commutative Algebra""; ""CHAPTER 16. Polynomial Rings, PIDs, and UFDs""; ""CHAPTER 17. Field Extensions""; ""CHAPTER 18. Galois Theory""; ""CHAPTER 19. Separability and Inseparability""; ""CHAPTER 20. Cyclotomy and Geometric Constructions""; ""CHAPTER 21. Finite Fields""; ""CHAPTER 22. Roots, Radicals, and Real Numbers""; ""CHAPTER 23. Norms, Traces, and Discriminants""; ""CHAPTER 24. Transcendental Extensions"" |
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""CHAPTER 25. The Artin-Schreier Theorem""""CHAPTER 26. Ideal Theory""; ""CHAPTER 27. Noetherian Rings""; ""CHAPTER 28. Integrality""; ""CHAPTER 29. Dedekind Domains""; ""CHAPTER 30. Algebraic Sets and the Nullstellensatz""; ""Index""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""J""; ""K""; ""L""; ""M""; ""N""; ""O""; ""P""; ""Q""; ""R""; ""S""; ""T""; ""U""; ""V""; ""W""; ""X""; ""Y""; ""Z""; ""Back Cover"" |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Algebra -- Textbooks
|
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MATHEMATICS -- Algebra -- Intermediate.
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Algebra
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| Genre/Form |
Textbooks
|
| Form |
Electronic book
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| ISBN |
9781470411640 |
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1470411644 |
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