Some facts, better explained, from Atiyah-Macdonald

Today we shall discuss some interesting properties of elements of a ring. 1. If is not a unit, then it is present in some maximal ideal of the ring . Self-explanatory. 2. If is present in every maximal ideal, then is a unit for all . Proof: Let not be a unit. Then it isContinue reading “Some facts, better explained, from Atiyah-Macdonald”