Final answer:
The function f : z × z → z defined by f(m,n) = m n is one-to-one.
Step-by-step explanation:
The function f : z × z → z defined by f(m,n) = m n is indeed one-to-one. A function is considered one-to-one if each input has a unique output. In this case, for every pair (m,n) that we input into the function, we will get a unique output m*n. Therefore, the function is one-to-one.