Question

The interaction of two subrings is not a subring

Answer 1

Step-by-step explanation:

Theorem The intersection of two subrings is a subring. ProofLet S1 and S2 be two subrings of a ring R. Then S1 ∩ S2 is not empty because at least 0 ∈ S1 ∩ S2. ... Similarly, since S2 is a subring of ring R,therefore, a, b ∈ S2 ⇒ a − b ∈ S2 and ab ∈ S2.