Free Malcev algebra of rank three

We find a basis for the free Malcev algebra on three free generators over a field of characteristic zero. The semiprimity and speciality of this algebra are proved. Also, we prove the decomposability of this algebra into a subdirect sum of the free Lie algebra of rank three and the free algebra of rank three of the variety generated by a simple seven-dimensional Malcev algebra. These results were announced in [1].