V. K. Vildanov, O. V. Ljubimtsev, D. S. Chistyakov, “On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups”, Mat. Zametki, 2018, Volume 103, Issue 3,Pages <nobr>364

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On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups

V. K. Vildanov^a, O. V. Ljubimtsev^b, D. S. Chistyakov^a

^a Lobachevski State University of Nizhni Novgorod
^b Nizhny Novgorod State University of Architecture and Civil Engineering

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.

Keywords: Abelian group, endomorphism semigroup.

UDC: 512.541

Received: 26.03.2017
Revised: 26.05.2017

DOI: 10.4213/mzm11604