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Description of  Representations of Rings over Skew Fields (London Mathematical Society Lecture Note Series)

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.