  We study a suitable q-deformed version of the Moriya's superexchange
interaction theory by means of its underlying quantum group structure. We show
that the one-dimensional chain case is associated with the non-standard quantum
group $GL_{pq}(2) $, evidencing the integrability structure of the system. This
biparametric deformation of $GL(2,{\bf C}) $ arise as a twisting of $GL_{q}(2)
$ and it match exactly the local rotation appearing in the Shekhtman's work
\cite{Sh}. This allow us to express the frustration condition in terms of this
twisting, also showing that effect of the Moriya's vector amounts to a twisting
of the boundary condition.
