Abstract:
In the present workwe describ eallorthogonal systems consisting of three
ternary quasigroupop erations and of all (three) ternary
selectors,admitting at least one nontrivial paratopy.
In[11]we proved that there exist precisely 48 orthogonal
systems of the considered form,admitting atleast one
paratopy,which components are three
quasigroupop erations,or two quasigroupop erations
and a selector.
Now we
show that there
exist precisely
105
such
systems,
admitting
at
least
one
nontrivial
paratopy
which
comp onents
are
two
selectors
and
a
quasigroup
op eration,
or
three
selectors.
