num_pages: 236
description: 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.
language: English
title: Representations of Rings over Skew Fields
titlecomplete: Representations of Rings over Skew Fields (London Mathematical Society Lecture Note Series, Series Number 92)
series: London Mathematical Society Lecture Note
publisher: Cambridge University Press