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. Applications and Examples to Theorem 13
- H. Normal Extensions
- I. Finite Fields
- J. Roots of Unity
- K. Noether Equations
- L. Kummer's Fields
- M. Simple Extensions
- N. Existence of a Normal Basis
- O. Theorem of Natural Rationality
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Permanent link to this document: http://projecteuclid.org/euclid.ndml/1175197045
