1. Math
  2. Algebra
  3. problem 3 let a be a ring and let i...

Question: problem 3 let a be a ring and let i...

Question details

Problem 3. Let A be a ring, and let I, P ⊂ A be ideals of A such that I ⊂ P.

Show that the following are equivalent:

(a) P is a prime ideal of A;

(b) P/I is a prime ideal of A/I.

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution