Noncommutative Algebra - Fall 2020

Instructor

Texts

McConnell Robson, Noncommutative Noetherian Rings

Other texts

Papers

Topics

Lecture Notes

  1. Algebras and Modules
  2. Adjoining generators
  3. Presentations of Algebras
  4. Skew polynomial rings and Ore extensions
  5. Adjunctions, derivations, and GWAs
  6. More about GWAs
  7. Degree derivations and graded ideals
  8. Filtered algebras
  9. The rational Cherednik algebras
  10. The Diamond Lemma 1
  11. The Diamond Lemma 2
  12. The Diamond Lemma 3
  13. Group-graded algebras
  14. Tensor products 1
  15. Tensor products 2
  16. Some induced modules
  17. Morita equivalence
  18. Morita for skew group algebras
  19. Clifford theory I

Last updated: Back to top ⇧