  We continue the study of the lower central series L_i(A) and its successive
quotients B_i(A) of a noncommutative associative algebra A, defined by
L_1(A)=A, L_{i+1}(A)=[A,L_i(A)], and B_i(A)=L_i(A)/L_{i+1}(A). We describe
B_{2}(A) for A a quotient of the free algebra on two or three generators by the
two-sided ideal generated by a generic homogeneous element. We prove that it is
isomorphic to a certain quotient of Kaehler differentials on the non-smooth
variety associated to the abelianization of A.
