Zorn's Lemma2

The set of prime ideals of a commutative ring contains inclusion-minimal elements
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.4 Exercise 7.4.36 Solution:...
Use Zorn’s Lemma to construct an ideal which maximally does not contain a given finitely generated ideal
Solution to Abstract Algebra by Dummit & Foote 3rd edition Chapter 7.4 Exercise 7.4.35 Solution:...