On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups

V. K. Vil’danov; O. V. Lyubimtsev; D. S. Chistyakov

doi:10.1134/S0001434618030045

On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups

Authors: Vil’danov V.K.¹, Lyubimtsev O.V.², Chistyakov D.S.¹
Affiliations:
1. Lobachevski State University of Nizhni Novgorod
2. Nizhny Novgorod State University of Architecture and Civil Engineering
Issue: Vol 103, No 3-4 (2018)
Pages: 372-377
Section: Article
URL: https://journal-vniispk.ru/0001-4346/article/view/150662
DOI: https://doi.org/10.1134/S0001434618030045
ID: 150662

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Abstract

Mixed Abelian groups with isomorphic endomorphism semigroups are studied. In particular, the question of when the isomorphism of endomorphism semigroups of Abelian groups implies the isomorphism of the groups themselves is investigated.