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Representations of Rings over Skew Fields : Cambridge Earth Science Series - A. H. Schofield

Representations of Rings over Skew Fields

Cambridge Earth Science Series

Paperback Published: 17th June 1985
ISBN: 9780521278539
Number Of Pages: 236

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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.

Homomorphisms to simple artinian rings
Hereditary rings and projective rank functions
The coproduct theorems
Projective rank functions on ring coproducts
Universal localisation
Universal homomorphisms from hereditary to simple artinian rings
Homomorphisms from hereditary to von Neumann regular rings
Homomorphisms from rings to simple artinian rings
Skew subfields of simple artinian coproducts
The centre of the simple artinian coproduct
Finite dimensional divisions subalgebras of skew field coproducts
The universal bimodule of derivations
Commutative subfields and centralisers in skew held coproducts
Characterising universal localisations at a rank function
Bimodule amalgam rings and Artin's problem
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521278539
ISBN-10: 0521278538
Series: Cambridge Earth Science Series
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 236
Published: 17th June 1985
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.37
Weight (kg): 0.35

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