Chapter II: Field Theory
Emil Artin
Abstract
Contents
- A. Extension Fields
- B. Polynomials
- C. Algebraic Elements
- D. Splitting Fields
- E. Unique Decomposition of Polynomials into Irreducible Factors
- F. Group Characters
- G. Normal Extensions
- I. Roots of Unity
- J. Noether Equations
- K. Kummer's Fields
- L. Simple Extensions
- M. Existence of a Normal Basis
- N. Theorem of Natural Rationality
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Permanent link to this document: http://projecteuclid.org/euclid.ndml/1175197005
