/sci/ - Science & Math

Looking at
[math] (x\cdot y)^T = y^T \cdot x^T [/math]
[math] (x\cdot y)^{-1} = y^{-1} \cdot x^{-1} [/math]
over a generally non-commutative operation.

Do maps with
[math] f(x\cdot y) = f(y) \cdot f(x) [/math]
have a name, and what would be other examples