A. H. Schofield
Cambridge University Press
e druk, 1985
9780521278539
Representations of Rings over Skew Fields
Specificaties
Paperback, 236 blz.
|
Engels
Cambridge University Press |
e druk, 1985
ISBN13: 9780521278539
Rubricering
Onderdeel van serie
London Mathematical
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9780521278539
Taal:Engels
Bindwijze:Paperback
Aantal pagina's:236
Uitgever:Cambridge University Press
Serie:London Mathematical
Inhoudsopgave
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.