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Representations of Rings over Skew Fields

£55.00

Part of London Mathematical Society Lecture Note Series

  • Date Published: April 1985
  • availability: Available
  • format: Paperback
  • isbn: 9780521278539

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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.

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    Product details

    • Date Published: April 1985
    • format: Paperback
    • isbn: 9780521278539
    • length: 236 pages
    • dimensions: 229 x 152 x 14 mm
    • weight: 0.35kg
    • availability: Available
  • Table of Contents

    Part I. Homomorphisms to simple artinian rings:
    1. Hereditary rings and projective rank functions
    2. The coproduct theorems
    3. Projective rank functions on ring coproducts
    4. Universal localisation
    5. Universal homomorphisms from hereditary to simple artinian rings
    6. Homomorphisms from hereditary to von Neumann regular rings
    7. Homomorphisms from rings to simple artinian rings
    Part II. Skew subfields of simple artinian coproducts:
    8. The centre of the simple artinian coproduct
    9. Finite dimensional divisions subalgebras of skew field coproducts
    10. The universal bimodule of derivations
    11. Commutative subfields and centralisers in skew held coproducts
    12. Characterising universal localisations at a rank function
    13. Bimodule amalgam rings and Artin's problem
    References
    Index.

  • Author

    A. H. Schofield

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