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Mixed Abelian groups with isomorphic endomorphism semigroups

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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.

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Lyubimtsev, O.V., Chistyakov, D.S. Mixed Abelian groups with isomorphic endomorphism semigroups. Math Notes 97, 556–564 (2015). https://doi.org/10.1134/S0001434615030268

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