Question

On Z^+
define * by
a *b =a is * a binary
operation ? Justity.​

Answer 1

Explanation:

On Z+,* is defined by a * b = a. It is seen that for each a, b ∈ Z+, there is a unique element a in Z+. This means that * carries each pair (a, b) to a unique element a * b = a in Z+. Therefore, * is a binary operation.