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The Algebraic Structure of Group Rings
Donald S. Passman
Table of Contents
| Part 1 Introduction | |||||||
| 1. Group Rings | |||||||
| 2. The Trace Map | |||||||
| 3. The Augmentation Ideal | |||||||
| Part 2 Linear Identities | |||||||
| 4. The Center | |||||||
| 5. Polynomial Identities | |||||||
| 6. Bounded Representation Degree | |||||||
| 7. The Semisimplicity Problem | |||||||
| 8. The Nilpotent Radical | |||||||
| 9. Primitive Rings | |||||||
| Part 3 Finiteness Properties | |||||||
| 10. Chain Conditions | |||||||
| 11. Nilpotent Groups | |||||||
| 12. Finite Dimensional Modules | |||||||
| 13. The Zero Divisor Problem | |||||||
| 14. Isomorphism Questions | |||||||
| References | |||||||
| Index | |||||||
| Appendix |