Methods of Graded Rings

Constantin Nastasescu, Freddy Van Oystaeyen (auth.)3540207465, 9783540207467

The topic of this book, graded algebra, has developed in the past decade to a vast subject with new applications in noncommutative geometry and physics. Classical aspects relating to group actions and gradings have been complemented by new insights stemming from Hopf algebra theory. Old and new methods are presented in full detail and in a self-contained way. Graduate students as well as researchers in algebra, geometry, will find in this book a useful toolbox. Exercises, with hints for solution, provide a direct link to recent research publications. The book is suitable for courses on Master level or textbook for seminars.

Table of contents :
1. The Category of Graded Rings….Pages 1-18
2. The Category of Graded Modules….Pages 19-79
3. Modules over Strongly Graded Rings….Pages 81-113
4. Graded Clifford Theory….Pages 115-145
5. Internal Homogenization….Pages 147-165
6. External Homogenization….Pages 167-185
7. Smash Products….Pages 187-221
8. Localization of Graded Rings….Pages 223-240
9. Application to Gradability….Pages 241-276
Appendix….Pages 277-289
Bibliography….Pages 291-302