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Mathematics The Primitive Element Theorem Ken Brown Cornell University October Given a eld extension KF an element is said to be separable over if it is algebraic over and its minimal polynomial ov

Recall that this is automatically true in characteristic 0 Theorem 1 Suppose 945 with each algebraic over and 945 separable Then is a simple extension of ie for some In particular every 64257nite extension is simple in characteristic Any as in th

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Mathematics The Primitive Element Theorem Ken Brown Cornell University October Given a eld extension KF an element is said to be separable over if it is algebraic over and its minimal polynomial ov






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