Definition:Alternating Bilinear Mapping/Characteristic Not 2

Definition
Let $R$ be a commutative ring.

Let $\struct {A_R, \oplus}$ be an algebra over $R$. Let $R$ have a characteristic not equal to $2$.

Then $\oplus$ is an alternating bilinear mapping :


 * $\forall a, b \in A_R: a \oplus b = - b \oplus a$

Also see

 * Equivalence of Definitions for Alternating Bilinear Mapping on Ring of Characteristic Not 2