Question
Determine whether or not the definition of * given below gives a binary operation. In the event that * is not a binary operation give justification of this.
On $\mathrm{Z}^{+}$, define * by a * $\mathrm{b}=\mathrm{a}$
Here, $\mathrm{Z}^{+}$denotes the set of all non-negative integers.
On $\mathrm{Z}^{+}$, define * by a * $\mathrm{b}=\mathrm{a}$
Here, $\mathrm{Z}^{+}$denotes the set of all non-negative integers.