2015•Mathematical NotesRequires access
Mixed Abelian groups with isomorphic endomorphism semigroups
O. V. Lyubimtsev, D. S. Chistyakov
Open publisher page 4 citations
Abstract
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.