Question

Prove that q1 q2 is injective if and only if both q1 and q2 are injective.

Answer 1

Step-by-step explanation:

ring of quotients of R PROOF. (i) ⇒ (ii). Now Q = E(RR) is a regular right self-injective ring. Let 1, q1, q2 ∈ Q. By Remark 1.5 there exists b∈ Q such that r · annR(b) = 0