Let E be an extension field of a finite field F, where F has q elements Let E be algebraic over F of degree n Prove that F() has q n elements ...

Every element of F can be uniquely expressed in the form b 0 b 1 b 2 2 ...

Let E be an extension field of a finite field F, where F has q elements. Let

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Let E be an extension field of a finite field F, where F has q elements. Let α ∈ E be algebraic over F of degree n. Prove that F(α) has qⁿ elements.

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A First Course In Abstract Algebra

ISBN: 9780201763904

7th Edition

Authors: John Fraleigh

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Question Posted: Jan 09, 2023 01:43 AM

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Let E be an extension field of a finite field F, where F has q elements. Let

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A First Course In Abstract Algebra

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