Let R = â„¤*â„¤*â„¤ and I = â„¤*â„¤*{0}. Then which of the following statement is correct? Options: A . &nbspI is a maximal ideal but not a prime ideal of R . B . &nbspI is a prime ideal but not a maximal ideal of R . C . &nbspI is both maximal ideal as well as a prime ideal of R . D . &nbspI is neither a maximal ideal nor a prime ideal of R .

Let R = â„¤*â„¤*â„¤ and I = â„¤*â„¤*{0}. Then which of the

Question

Let R = â„¤*â„¤*â„¤ and I = â„¤*â„¤*{0}. Then which of the following statement is correct?

Options:

A . I is a maximal ideal but not a prime ideal of R .

B . I is a prime ideal but not a maximal ideal of R .

C . I is both maximal ideal as well as a prime ideal of R .

D . I is neither a maximal ideal nor a prime ideal of R .

Answer: Option B

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