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Determine all of the prime ideals of F[x], where F is a field. (See 39.7 and 39.8.)

Chapter 40, Problem 40.16

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QUESTION:

Determine all of the prime ideals of F[x], where F is a field. (See 39.7 and 39.8.)

Questions & Answers

QUESTION:

Determine all of the prime ideals of F[x], where F is a field. (See 39.7 and 39.8.)

ANSWER:

Step 1 of 3

Suppose  is a prime ideal in . Since,  is principal ideal domain, , such that  .

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