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 lect...
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Main Author: | |
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Format: | eBook |
Language: | English |
Published: |
Cambridge :
Cambridge University Press,
1995.
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Series: | Encyclopedia of mathematics and its applications ;
v. 57. |
Subjects: | |
Online Access: | CONNECT CONNECT |
Table of Contents:
- 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.