Mathematics · Ring Theory
Which of the following statements is necessarily true for a commutative ring R with unity?
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1R must have at least two prime ideals
- 2R can have one or more maximal ideals but no prime ideals
- 3R can have exactly two maximal ideals✓
- 4R may have no maximal ideals
Correct answer
R can have exactly two maximal ideals
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