# I need the name of this algebraic structure

I need the name of the algebraic structure that has an identity element, is associative and closed under some operation $\circ$. It is a monoid associated with a set which it is closed in, or a group without inverses.

• you are talking about a Monoid – Hector Blandin Nov 2 '17 at 2:20
• In other words, a monoid or a semigroup with an identity element. – Hector Blandin Nov 2 '17 at 2:21