  Axial algebras are commutative nonassociative algebras generated by a finite
set of primitive idempotents which action on an algebra is semisimple, and the
fusion laws on the products between eigenvectors for these idempotents are
fulfilled. We find the sufficient conditions in terms of the Frobenius form and
of the properties of idempotents under which an axial algebra of Jordan type
half is unital.
