Representations of Rings over Skew Fields / A. H. Schofield.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 92Publisher: Cambridge : Cambridge University Press, 1985Description: 1 online resource (236 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511661914 (ebook)Subject(s): Commutative rings | Representations of rings (Algebra) | Skew fieldsAdditional physical formats: Print version: : No titleDDC classification: 512/.4 LOC classification: QA251.3 | .S34 1985Online resources: Click here to access online 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 16 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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