Representations of Rings over Skew Fields - 92

The first half of the book is a general study of homomorphisms to simple artinian rings; the techniques developed here should be of interest to many algebraists.

The second half is a more detailed study of special types of skew fields which have arisen from the work of P.

M. Cohn and the author. A number of questions are settled; a version of the Jacobian conjecture for free algebras is proved and there are examples of skew field extensions of different but finite left and right dimension.