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Let BCR be a subset of R. Prove that there is an ideal I of R such thatB n I has at most one element, and use Zorn's Lemma to show that thereis an ideal of R which is maximal with respect to this property

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Let BCR be a subset of R. Prove that there is an ideal I of R such that
B n I has at most one element, and use Zorn's Lemma to show that there
is an ideal of R which is maximal with respect to this property
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Let BCR be a subset of R. Prove that there is an ideal I of R such that B n I has at most one element, and use Zorn's Lemma to show that there is an ideal of R which is maximal with respect to this property

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Step 1

To show that ideals I and J  exist satisfying conditions 1) and 2) 

Step 2

Recall the following basic definition.

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Step 3

Thus, we have exhibited an ideal I whose inter...

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