Hey there,

I received this question:

Let R be a commutative ring with identity 1 and let S be a sub-monoid of

R-{0}.

Use Zorn's lemma to prove that there is a maximal ideal J such as JnS=Empty Set.

I proved a stronger proposition that says that in R, every proper ideal is contained in a maximal ideal. But is it equivalent to the proposition given in the question? How can I continue?

TNX a lot!