Q39

$A=\{0,1,2,3, \ldots\}$ is the set of non-negative integers. Let $F$ be the set of functions from $A$ to itself. For any two functions, $f_{1}, f_{2} \in \mathrm{~F}$, we define

$$\left(f_{1} \odot f_{2}\right)(n)=f_{1}(n)+f_{2}(n)$$

for every number $n$ in $A$. Which of the following is/are CORRECT about the mathematical structure $(\mathrm{F}, \odot)$ ?