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Answer by Captain Lama for Correspondence theorem between rings problem
Let us consider three sets: $A$ is the set of ideals of $R$, $B\subset A$ is the set of ideals of $R$ which contain $I$, and $C$ is the set of ideals of $R/I$.Then as you noticed, $K\mapsto \psi(K)$...
View ArticleCorrespondence theorem between rings problem
I am looking at the correspondence theorem for rings. So if $I$ is a 2 sided ideal in $R$ and $\psi $ is the natural homomorphism from $R$ to $R/I$ then there is a bijection between the set of two...
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