Discussion :: GATE Mathematics
- Suppose that R is a unique factorization domain and that a,b ∈R are distinct irreducible elements. Which of the following statements is TRUE?
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A.
The ideal 〈1+a〉 is a prime ideal
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B.
The ideal 〈a+b〉 is a prime ideal
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C.
The ideal 〈1+ab〉 is a prime ideal
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D.
The ideal 〈a〉 is not necessarily a maximal ideal
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Answer : Option D
Explanation :
-NA-
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