Representations of Rings over Skew Fields

Table of Contents

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.

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• Copyright Information Page (65 KB)
• Marketing Excerpt (445 KB)
• Index (73 KB)
• Front Matter (549 KB)
• Table of Contents (57 KB)