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Matematicheskie Zametki, 2015, Volume 97, Issue 4, Pages 556–565
DOI: https://doi.org/10.4213/mzm10643 (Mi mzm10643) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Mixed Abelian Groups with Isomorphic Endomorphism Semigroups

O. V. Ljubimtseva, D. S. Chistyakovb

a Nizhny Novgorod State University of Architecture and Civil Engineering
b Moscow State Pedagogical University
Full-text PDF (502 kB) Citations (5)
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DOI: https://doi.org/10.4213/mzm10643
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.
Keywords: mixed Abelian group, endomorphism semigroup, $UA$-ring of endomorphisms.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation
German Academic Exchange Service (DAAD)
This work was supported by the Joint Program “Mikhail Lomonosov, III” of the Ministry of Education and Science of the Russian Federation and DAAD.
Received: 23.12.2013
Revised: 24.05.2014
English version:
Mathematical Notes, 2015, Volume 97, Issue 4, Pages 556–564
DOI: https://doi.org/10.1134/S0001434615030268
Bibliographic databases:
Document Type: Article
UDC: 512.541
Language: Russian
Citation: O. V. Ljubimtsev, D. S. Chistyakov, “Mixed Abelian Groups with Isomorphic Endomorphism Semigroups”, Mat. Zametki, 97:4 (2015), 556–565; Math. Notes, 97:4 (2015), 556–564
Citation in format AMSBIB
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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