A new way to prove the Frobenious conjecture on the dimensions of real algebras without zero dividers is given in the present paper. Firstly, the proof of nonexistence of real algebras without zero dividers in all dimensions except 1,2,4 and 8 was given in [1]. It was based on the simplicial cohomology operation technique. Later on methods of K-theory cohomology operations gave one a possibilit...