National Science Library of Georgia

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Representation of rings over skew fields / A.H. Schofield.

By: Material type: TextTextSeries: London Mathematical Society lecture note series ; 92.Publisher: Cambridge : Cambridge University Press, 1985Description: 1 online resource (xii, 223 pages) : digital, PDF file(s)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9780511661914 (ebook)
Subject(s): Additional physical formats: Print version: : No titleDDC classification:
  • 512/.4 19
LOC classification:
  • QA251.3 .S34 1985
Online resources: Summary: 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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Title from publisher's bibliographic system (viewed on 05 Oct 2015).

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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