Shenggui, Zhang, On Polynomial Rings over a Ring with a Selfduality, Acta Mathematica Sinica, New Series Chinese Journal of Mathematics, 13(4), 1997, pp. 571-576
We prove that a ring R has a self duality induced by a left R-module M if and only if its polynomial ring R[x] has a graded self duality induced by a graded left R[x]-module M[x.¹]