5. Let ( M ) be a proper ideal of the ring ( R ). Prove that ( M ) is a maximal ideal if and only if, for each ideal ( I ) of ( R ), either ( I subseteq M ) or else ( I+M=R ).

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5. Let  ( M  ) be a proper ideal of the ring  ( R  ). Prove that  ( M  ) is a maximal ideal if and only if, for each ideal  ( I  ) of  ( R  ), either  ( I  subseteq M  ) or else  ( I+M=R  ).

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Solution for -  5. Let  ( M  ) be a proper ideal of the ring  ( R  ). Prove that  ( M  ) is a maximal ideal if and

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This an additional answer to -  5. Let  ( M  ) be a proper ideal of the ring  ( R  ). Prove that  ( M  ) is a maximal ideal if and

(Solved): 5. Let \( M \) be a proper ideal of the ring \( R \). Prove that \( M \) is a maximal ideal if and ...

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