
Infinite Crossed Products
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Content
- Front Cover
- Infinite Crossed Products
- Copyright Page
- Contents
- Preface
- Chapter 1. Crossed Products and Group-Graded Rings
- 1. Crossed Products
- 2. Group-Graded Rings and Duality
- 3. Induced Modules
- 4. Maschke's Theorem
- Chapter 2. Delta Methods and Semiprime Rings
- 5. Delta Methods
- 6. Coset Calculus
- 7. Minimal Forms
- 8. Sufficient Conditions
- 9. Polynomial Identities
- Chapter 3. The Symmetric Ring of Quotients
- 10. The Martindale Ring of Quotients
- 11. Separated Groups
- 12. X-Inner Automorphisms
- 13. Free Rings
- Chapter 4. Prime Ideals - The Finite Case
- 14. G-Prime Coefficients
- 15. Prime Coefficients
- 16. Finite Groups and Incomparability
- 17. Primeness and Sylow Subgroups
- 18. Semiprimeness and Sylow Subgroups
- Chapter 5. Prime Ideals - The Noetherian Case
- 19. Orbitally Sound Groups
- 20. Polycyclic Group Algebras
- 21. Polycyclic Crossed Products
- 22. Jacobson Rings
- 23. P. I. Algebras
- Chapter 6. Group Actions and Fixed Rings
- 24. Fixed Points and Traces
- 25. Integrality
- 26. Finiteness Conditions
- 27. Rings With No Nilpotent Elements
- 28. Prime Ideals and Fixed Rings
- Chapter 7. Group Actions and Galois Theory
- 29. Traces and Truncation
- 30. The Galois Correspondence
- 31. Almost Normal Subgroups
- 32. Free Rings and Subrings
- Chapter 8. Grothendieck Groups and Induced Modules
- 33. Grothendieck Groups
- 34. Graded Rings
- 35. Group Extensions
- 36. The Induction Theorem
- Chapter 9. Zero Divisors and Idempotents
- 37. Zero Divisors and Goldie Rank
- 38. The Zalesskii-Neroslavskii Example
- 39. Almost Injective Modules
- 40. Stably Free Modules
- References
- Index
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