In abstract algebra, a medial magma or medial groupoid is a magma or groupoid which satisfies the identity ⋅ = ⋅ {\displaystyle \cdot =\cdot }, or more simply x y ⋅ u v = x u ⋅ y v {\displaystyle xy\cdot uv=xu\cdot yv} for all x, y, u and v, using the convention that juxtaposition denotes the same operation but has higher precedence. Wikipedia