%0 eBook
%M Solr-EB001382568
%A Schofield, A. H.
%I Cambridge University Press
%D 1985
%C Cambridge
%G English
%B London Mathematical Society lecture note series
%@ 9780511661914
%T Representation of rings over skew fields
%U https://doi.org/10.1017/CBO9780511661914
%X 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