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Sbornik: Mathematics, 2010, Volume 201, Issue 8, Pages 1111–1119
DOI: https://doi.org/10.1070/SM2010v201n08ABEH004105 (Mi sm4516) 		 
On the coincidence of the subgroups $J(E(A))A$ and $\operatorname{Rad}({}_{E(A)}A)$ in a group $A$

A. P. Dik

Tomsk State University
English version PDF (218 kB)
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DOI: https://doi.org/10.1070/SM2010v201n08ABEH004105
Abstract: The problem on the coincidence of the subgroups $J(E(A))A$ and $\operatorname{Rad}({}_{E(A)}A)$ in a given group $A$ is studied. The maximal completely characteristic subgroups of some Abelian groups are found.
Bibliography: 5 titles.
Keywords: Abelian group, endomorphism ring, Jacobson radical.
Received: 01.02.2008 and 22.12.2009
Russian version:
Matematicheskii Sbornik, 2010, Volume 201, Number 8, Pages 23–30
DOI: https://doi.org/10.4213/sm4516
Bibliographic databases:
Document Type: Article
UDC: 512.541
MSC: Primary 20K30; Secondary 20K27
Language: English
Original paper language: Russian
Citation: A. P. Dik, “On the coincidence of the subgroups $J(E(A))A$ and $\operatorname{Rad}({}_{E(A)}A)$ in a group $A$”, Mat. Sb., 201:8 (2010), 23–30; Sb. Math., 201:8 (2010), 1111–1119
Citation in format AMSBIB
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    Russian version PDF:195
    English version PDF:13
    References:70
    First page:6
     
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