$A = \{0, 1, 2, 3, \dots\}$ is the set of non-negative integers. Let F be the set of functions from $A$ to itself. For any two functions, $f_1, f_2 \in \text{F}$, we define $$(f_1 \odot f_2)(n) = f_1(n) + f_2(n)$$ for every number $n$ in $A$. Which of the following is/are CORRECT about the mathematical structure $(\text{F}, \odot)$?

A = \0, 1, 2, 3, \ is the set of non-negative integers. Let F be the set of functions from A to itself. For any two functions, f1, f2 F, we define (f1 f2)(n) = f1(n) + f2(n) for every number n in A. Which of the following is/are CORRECT about the mathematical structure (F, )?

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