Definition:Anticommutative/Structure with Two Operations

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

Let every element $x$ in $\struct {S, +}$ have an inverse element $-x$.

Then $\circ$ is anticommutative on $S$ with respect to $+$ :


 * $\forall x, y \in S: x \circ y = -\paren {y \circ x}$

Also see

 * Vector Cross Product is Anticommutative