Determine whether each of the following mapping is a

Last updated: 8/10/2022

Determine whether each of the following mapping is a homomorphism (justify your answer). If yes, find its kernel. i. Define : Z → R by p(x) = x. (where Z and R are both groups under addition). ii. Let(G,*) be a group under a binary operation and let y: GG be defined by y(m) = m² for all meg.