Article
MSC:
16E50,
16S50,
16W80,
20K30,
20K45,
22B05 | MR 2905420 | Zbl 1240.20055 | DOI: 10.1007/s10587-011-0070-6
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Keywords:
$m$-regular ring; discrete module; quasi-injective module; linearly compact group; LCA group; local product
$m$-regular ring; discrete module; quasi-injective module; linearly compact group; LCA group; local product
Summary:
We extend a result of Rangaswamy about regularity of endomorphism rings of Abelian groups to arbitrary topological Abelian groups. Regularity of discrete quasi-injective modules over compact rings modulo radical is proved. A characterization of torsion LCA groups $A$ for which ${\rm End}_c(A)$ is regular is given.
References:
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