Mathematics · Ring Theory
Let F[X] be the polynomial ring in one variable over a field F. Then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1F[X] is a PID but is not a Euclidean Domain
- 2F[X] is a Euclidean Domain
- 3F[X] is a Principal Ideal Domain (PID)
- 4F[X] is a Unique Factorization Domain (UFD)✓
Correct answer
F[X] is a Unique Factorization Domain (UFD)
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