This paper determines the Z-module structure of the homoge-neous submodules of degree ≤ 6 of the free semialternative ring over Z on one generator. There are no elements of finite order in degree ≤ 4. In degree 5 the torsion subgroup is isomorphic to Z2, and in degree 6 the torsion subgroup is isomorphic to. Generators foi the cyclic summands of the torsion subgroups are explicitly computed.