# Proof that If F = K(u 1 , . .. , u n ) is a finitely generated extension of

## Question:

Proof that If F = K(u_{1}, . .. , u_{n}) is a finitely generated extension of K and E is an intermediate field, then E is a finitely generated extension of K.

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**Related Book For**

## Algebra Graduate Texts In Mathematics 73

**ISBN:** 9780387905181

8th Edition

**Authors:** Thomas W. Hungerford

**Question Details**

Chapter #

**6**- The Structure of FieldsSection: Exercises 6.1

Problem: 5

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**Question Posted:**April 20, 2023 02:59:26