  In this paper we give invariants that characterize isotypically equivalent
Abelian periodic groups. Also, we describe types of standart tuples of elements
in these groups. As the particular case we prove that two Abelian $p$-groups
with separable reduced parts are isotypically equivalent if and only if their
divisible parts and their basic subgroups are elementarily equivalent. Also as
a corollary we prove that any Abelian $p$-group with a separable reduced part
is $\omega$-strongly homogeneous.
