Definition:Absorption Law

Definition
Let $\struct {S, \circ, *}$ be an algebraic structure.

Let both $\circ$ and $*$ be commutative.

Then $\circ$ absorbs $*$ :


 * $\forall a, b \in S: a \circ \paren {a * b} = a$

This equality is called the absorption law of $\circ$ for $*$.