Let $k$ be a commutative ring (if you like, an algebraically closed field) and let $A$ and $B$ be commutative $k$-algebras. Suppose we are given a homomorphism of $k$-algebras $f:A \rightarrow B$. Then $f$ induces a map on modules of differentials $f: \Omega_{A/k} \rightarrow \Omega_{B/k}$, and hence a map $B \otimes_A \Omega_{A/k} \rightarrow B \otimes_A \Omega_{B/k} \rightarrow \Omega_{B/k}.$ Is there an established name (written down somewhere permanent and publicly available) for the class of maps $f$ such that this composite map is an isomorphism?
Evidently, if $A$ and $B$ are the coordinate rings of smooth affine varieties $X$ and $Y$ over an algebraically closed field, and $f$ corresponds to an etale map, then this property holds---I need a slight generalization for technical reasons.