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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 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
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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.
Received: 26.01.2017
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2018, Volume 62, Issue 7, Pages 47–52
DOI: https://doi.org/10.3103/S1066369X18070046
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: D. S. Chistyakov, “Isomorphisms of semigroups of endomorphisms of mixed Abelian groups”, Izv. Vyssh. Uchebn. Zaved. Mat., 2018, no. 7, 54–60; Russian Math. (Iz. VUZ), 62:7 (2018), 47–52
Citation in format AMSBIB
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\pages 54--60
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\issue 7
\pages 47--52
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