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Representations of Rings over Skew Fields: London Mathematical Society Lecture Note Series, cartea 92

Autor A. H. Schofield
en Limba Engleză Paperback – 17 apr 1985
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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Specificații

ISBN-13: 9780521278539
ISBN-10: 0521278538
Pagini: 236
Ilustrații: 1
Dimensiuni: 152 x 228 x 22 mm
Greutate: 0.35 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:Cambridge, United Kingdom

Cuprins

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.

Descriere

A study of representations of rings over skew fields.