How should I prove this:
Any Ideal which is a Maximal additive subgroup is also a Maximal Ideal .
any idea how to prove it..
2026-04-02 10:49:21.1775126961
An Ideal which is Maximal additive subgroup is a Maximal Ideal
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Suppose that $\mathfrak m$ is an ideal whose additive group is maximal, and suppose that there is another ideal $\mathfrak m'\supset\mathfrak m$ that is a maximal ideal.
Then, $(\mathfrak m',+)$ is an additive subgroup that contains $\mathfrak m$. Can you finish?