## SEMIGROUP

### Semigroup

In mathematics, a**semigroup**is an algebraic structure consisting of a set together with an associative binary operation. A semigroup generalizes a monoid in that a semigroup need not have an identity element. It also generalized a group to a type where every element did not have to have an inverse, thus the name

**semigroup**.

*The above text is a snippet from Wikipedia: Semigroup*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.

### semigroup

#### Noun

- Any set for which there is a binary operation that is both closed and associative.

*The above text is a snippet from Wiktionary: semigroup*

and as such is available under the Creative Commons Attribution/Share-Alike License.

and as such is available under the Creative Commons Attribution/Share-Alike License.