Separability Ii
نویسنده
چکیده
Derivations are discussed in Appendix B. The proofs of Theorems 1.1 and 1.2 both use tensor products. For those two proofs, the reader should be comfortable with the fact that injectivity and surjectivity of a linear map of vector spaces can be detected after a base extension: a linear map is injective or surjective if and only if its base extension to a larger field is injective or surjective. Each of the three theorems above will be proved and then lead in its own way to proofs of the following two theorems.
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