Del 57 i serien Encyclopedia of Mathematics and its Applications
Skew Fields
Theory of General Division Rings
Inbunden, Engelska, 1995
2 719 kr
Beställningsvara. Skickas inom 5-8 vardagar. Fri frakt för medlemmar vid köp för minst 249 kr.
Finns i fler format (1)
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 lecture note volume Skew Field Constructions, the present work offers a comprehensive account of skew fields. The axiomatic foundation, and a precise description of the embedding problem, is followed by an account of algebraic and topological construction methods, in particular, the author's general embedding theory is presented with full proofs, leading to the construction of skew fields. The powerful coproduct theorem of G. M. Bergman is proved here, as well as the properties of the matrix reduction functor, a useful but little-known construction providing a source of examples and counter-examples. The construction and basic properties of existentially closed skew fields are given, leading to an example of a model class with an infinite forcing companion which is not axiomatizable.
Produktinformation
- Utgivningsdatum1995-07-28
- Mått162 x 240 x 31 mm
- Vikt915 g
- FormatInbunden
- SpråkEngelska
- SerieEncyclopedia of Mathematics and its Applications
- Antal sidor520
- FörlagCambridge University Press
- ISBN9780521432177
Tillhör följande kategorier
Hoppa över listan
Mer från samma serie
Del 86
Del 70
Del 66
Del 41
Del 72
Del 50
Del 51
Handbook of Categorical Algebra: Volume 2, Categories and Structures
Francis Borceux
Häftad, 2008
1 839 kr
Del 52
Del 76
Geometry of Sporadic Groups: Volume 1, Petersen and Tilde Geometries
A. A. Ivanov
Häftad, 2008
1 449 kr
Del 31
Hoppa över listan
Du kanske också är intresserad av
Technical Bases for Yucca Mountain Standards
National Research Council, Division on Earth and Life Studies, Environment and Resources Commission on Geosciences, Committee on Technical Bases for Yucca Mountain Standards
Häftad, 1995
1 909 kr
Del 57
Del 76
Del 3