Define a commutative binary operation on a set. - Vidyadip

Question

Define a commutative binary operation on a set.

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Answer

Commutativity: Let S be a non-empty set. A function F: S × S → S is said to be binary operation on S.

Mathematically: Let * be a binary operation. It is said to be commutative binary operation if it satisfies commutativity with respect to *.

That is, if $\text{a, b}\in\text{S}$, then

a * b = b * a for all $\text{a, b}\in\text{S}$.

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