A binary operation on a set S is a function from

Define a binary operation on a set

Define a binary operation on a set.

Define a binary operation on a set.

Definition and Theorem: Let * be a binary operation on a set S.If S has an identity element for * then it is unique.

Let * be an associative binary operation on a set S with the identity element e in S. Then. the inverse of an invertible element is unique.

Let * be an associative binary operation on a set S and a be an invertible element of S. Then; inverse of a^(^^)-1 is a.

A binary operation on a set has always the identity element.

A binary operation on a set has always the identity element.