  It is proved that the prime degenerate (-1,1) algebra constructed in [13]
(the (-1,1)-monster) generates the same variety of algebras as the Grassman
(-1,1)-algebra. Moreover, the same variety is generated by the Grassmann
envelope of any simple nonassociative (-1,1)-superalgebra. The variety occurs
to be the smallest variety of (-1,1)-algebras that contains prime
nonassociative algebras. Similar results are obtained for Jordan algebras.
Thus, the Jordan monster (the prime degenerate algebra constructed in [13]) and
the Grassmann envelope of the prime Jordan superalgebra of vector type have the
same ideals of identities. It is also shown that the Jordan monster generates a
minimal variety that contains prime degenerate Jordan algebras. All the
algebras and superalgebras are considered over a field of characteristic 0.
