# [PDF] Representations of Rings over Skew Fields (London Mathematical Society Lecture Note Series)

#### ISBN: 0521278538

#### Category: Tutorial

Posted on 2018-01-17, by luongquocchinh.

Description

Author: A. H. Schofield | Publisher: Cambridge University Press | Category: Mathematics | Language: English | Page: 236 | ISBN: 0521278538 | ISBN13: 9780521278539 |

**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.

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