Skew fields : theory of general division rings /

Non-commutative fields (also called skew fields or division rings) have not been studied as thoroughly as their commutative counterparts and most accounts have hitherto been confined to division algebras, that is skew fields finite-dimensional over their centre. Based on the author's LMS lectur...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Cohn, P. M. (Paul Moritz)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York : Cambridge University Press, 1995.
Colección:Encyclopedia of mathematics and its applications ; v. 57.
Temas:
Division rings.
Algebraic fields.
Corps gauches.
Corps algébriques.
MATHEMATICS > Algebra > Intermediate.
Algebraic fields
Division rings
Lichamen (wiskunde)
Ringen (wiskunde)
Acceso en línea:Texto completo
Tabla de Contenidos:
  • From the preface to Skew Field Constructions
  • 1. Rings and their fields of fractions
  • 2. Skew polynomial rings and power series rings
  • 3. Finite skew field extensions and applications
  • 4. Localization
  • 5. Coproducts of fields
  • 6. General skew fields
  • 7. Rational relations and rational identities
  • 8. Equations and singularities
  • 9. Valuations and orderings on skew fields.

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