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Does in a commutative ring every ideal is maximal?

Anonymous

∙ 14y ago

Updated: 12/23/2022

No. For instance in R, which is commutative, we have the ideals (2) and (4), where (4) is strictly contained in (2), which is not R. Therefore the ideal (4) is not a maximal ideal.

Wiki User

∙ 14y ago

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