Tensor, symmetric and exterior algebras Kahler modules

Let k be an algebraically closed field of characteristic zero, R an affine k-algebra and let omega^ ?(q)(R=k) denote its universal finite Kahler module of differentials over k. In this paper, we consider the tensor, exterior and symmetric algebras of Kahler modules introduced by H. Osborn [9]. We explore some interesting properties of the algebras of Kahler modules, which have not been considered before.