Normal Extension - Other Properties

Other Properties

Let L be an extension of a field K. Then:

  • If L is a normal extension of K and if E is an intermediate extension (i.e., L ⊃ E ⊃ K), then L is a normal extension of E.
  • If E and F are normal extensions of K contained in L, then the compositum EF and E ∩ F are also normal extensions of K.

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