On the Second-Degree Exterior Derivation of Kahler Modules on X ⊗ Y

This article presents a new approach to stress the properties of Kahler modules. In this paper, we construct the Kahler modules of second-degree exterior derivations and we constitute an exact sequence of X ⊗ Y -modules. Particularly, we examine Kahler modules on X ⊗ Y , and search for the homological size of Λ 2 ( Ω 1 ( X ⊗ Y ) ) .