Representations of Rings over Skew Fields Book

Part I. Homomorphisms to simple artinian rings:

1. Hereditary rings and projective rank functions;
2. The coproduct theorems;
3. Projective rank functions on ring coproducts;
4. Universal localisation;
5. Universal homomorphisms from hereditary to simple artinian rings;
6. Homomorphisms from hereditary to von Neumann regular rings;
7. Homomorphisms from rings to simple artinian rings;

Part II. Skew subfields of simple artinian coproducts:
8. The centre of the simple artinian coproduct;
9. Finite dimensional divisions subalgebras of skew field coproducts;
10. The universal bimodule of derivations;
11. Commutative subfields and centralisers in skew held coproducts;
12. Characterising universal localisations at a rank function;
13. Bimodule amalgam rings and Artin's problem; References; Index.