●INTRODUCTION
●SECTION
●1.Extension of homomorphisms
●2.Algebras
●3.Tensor products of vector spaces
●4.Tensor product of algebras
●
●CHAPTER I: FINITE DIMENSIONAL EXTENSION FIELDS
●1 Some vector spaces associated with mappings of fields
●2.The Jacobson-Bourbaki correspondence
●3.Dedekind independence theorem for isomorphisms of a field
●4.Finite groups of automorphisms.
●5.Splitting field of a polynomial
●6.ltiple roots.Separable polynomials
●7.The "fundamental theorem" of Galois theory
●8.Normal extensions.Normal closures
●9.Structure of algebraic extensions.Separability
●10.Degrees of separability and inseparability.Structure of normal extensions
●11.Primitive elements
●12.Normalbases
●部分目录
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