Mixed Abelian Groups with Isomorphic Endomorphism Semigroups

In the present paper, mixed Abelian groups with isomorphic endomorphism semigroups are studied. In particular, we characterize the groups whose periodic parts are nonisomorphic, while their endomorphism semigroups are isomorphic. A description of nonreduced split mixed Abelian groups with $UA$-rings of endomorphisms is obtained.