Mathematics · Abstract Algebra
If UFD denotes a Unique Factorization Domain, ED denotes a Euclidean Domain, and PID denotes a Principal Ideal Domain, then which of the following statements is true?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1&DoubleStruckCapitalZ;[√-7] is a PID but not a UFD.
- 2&DoubleStruckCapitalZ;[√-2] is a PID but not an ED.
- 3&DoubleStruckCapitalZ;[√-2] is a PID.✓
- 4&DoubleStruckCapitalZ;[√-7] is a UFD but not an ED.
Correct answer
&DoubleStruckCapitalZ;[√-2] is a PID.
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