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Representation of Rings Over Skew Fields
Aidan Harry Schofield
出版Cambridge University Press, 1985
主題MATHEMATICS / Algebra / Intermediate
ISBN05212785389780521278539
URLhttp://books.google.com.hk/books?id=UW5P2_deEkMC&hl=&source=gbs_api
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註釋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.