  In this short note, we construct a right adjoint to the functor which
associates to a ring $R$ equipped with a group action its twisted group ring.
This right adjoint admits an interpretation as semilinearization, in that it
sends an $R$-module to the group of semilinear $R$-module automorphisms of the
module. As an immediate corollary, we provide a novel proof of the classical
observation that modules over a twisted group ring are modules over the base
ring together with a semilinear action.
