An approximation to second exterior derivation of high order universal modules

Abstract

Let k be a commutative ring and assume that R is a commutative k-algebra. Let Ω₂ (R) be the second order universal module of derivations of R. In this paper, we define the function Ω₂ (R) → Λ² (Ω₂ (R)) of second order exterior derivation and investigate the homological properties of Λ² (Ω₂ (R)).