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

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.

UDC: 512.541

MSC: Primary 20K30; Secondary 20K27

Received: 01.02.2008 and 22.12.2009

DOI: 10.4213/sm4516

 English version: Sbornik: Mathematics, 2010, 201:8, 1111–1119

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