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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive
Izv. Vyssh. Uchebn. Zaved. Mat., 2018 Number 7, Pages 54–60 (Mi ivm9375)
Isomorphisms of semigroups of endomorphisms of mixed Abelian groups

D. S. Chistyakov

National Research University Higher School of Economics, 20 Myasnitskaya str., Moscow, 101000 Russia

Abstract: We study Abelian groups such that their endomorphism ring is a unique addition ring. It means that there exists a unique binary operation of addition which turns endomorphism semigroup into a ring. We solve also close questions.

Keywords: mixed Abelian group, endomorphism semigroup, $\mathrm{UA}$-ring.

UDC: 512.541

Received: 26.01.2017


 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2018, 62:7, 47–52

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© Steklov Math. Inst. of RAS, 2025