Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the endomorphism rings of abelian groups and their Jacobson radical   We give a characterization of those abelian groups which are direct sums of
cyclic groups and the Jacobson radical of their endomorphism rings are closed.
A complete characterization of $p$-groups $A$ for which $(EndA,\mathcal T_L)$
is locally compact, where $\mathcal T_L$ is the Liebert topology on $EndA$, is
given. We prove that if $A$ is a countable elementary $p$-group then $EndA$ has
a non-admissible ring topology. To every functorial topology on $A$ a right
bounded ring topology on $EndA$ is attached. By using this topology we
construct on $EndA$ a non-metrizable and non-admissibe ring topology on $EndA$
for elementary countable $p$-groups $A$.

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The categories of this paper are: dg-ga
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
6
The categories of this paper are: astro-ph
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The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio