  Superinvolutions on graded associative algebras constitute a source of Lie
and Jordan superalgebras. Graded versions of the classical Albert and
Albert-Riehm Theorems on the existence of superinvolutions are proven.
Surprisingly, the existence of superinvolutions of the first kind is a rare
phenomenon, as nontrivial central division superalgebras are never endowed with
this kind of superinvolutions.
