Let QL be the loop algebra of an R.A. loop L over the rational field Q
. Assume that the non-trivial commutator in L is not a square of a cen
tral element. In [1]. it is shown that QL determines L. In this paper
we characterize all fields K, with char K not-equal 2, such that KL de
termines L for all R.A. 2-loops L with the above property.