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Which of the following statements is necessarily true for a commutative ring R with unity .
Question

Which of the following statements is necessarily true for a commutative ring R with unity .

A.

R may have no maximal ideals .

B.

R can have exactly two maximal ideals .

C.

R can have one or more maximal ideals but no prime ideals .

D.

R has at least two prime ideals .

Correct option is B

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