Referring to Exercise 2, describe the totally inseparable closure of Z 3 (u, v) in Z 3

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Referring to Exercise 2, describe the totally inseparable closure of Z₃(u, v) in Z₃(y, z). (See Exercise 6.)

Data from Exercise 2

Let and z be indeterminates, and let u = y¹² and v = y²z¹⁸. Describe the separable closure of Z₃(u, v) in Z₃(y, z).

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A First Course In Abstract Algebra

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Authors: John Fraleigh

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Question Posted: Jan 16, 2023 02:51 AM

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Referring to Exercise 2, describe the totally inseparable closure of Z 3 (u, v) in Z 3

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The totally inseparable closure must contain y 4 and therefore y 2 ...View the full answer

A First Course In Abstract Algebra

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