Let A denote a commutative ring with identity. We suppose A contains a field k of characteristic zero. Let Ql(A) and d: A -gl(A) denote the A-module of first-order k-differentials on A and the canonical derivation of A into 0'(A) respectively. If % is an ideal of A which is flat as an A-module, then xdy ydx E %2Qk(A) for all xy in W. We give examples in this paper which show that the converse of this statement is false. We also show that if 9t is a maximal ideal of a Noetherian ring A, then xdy ydx E 921k(A) for all xy in 9t does imply 91 is flat.