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On regular endomorphism rings of topological Abelian groups

Horea Florian Abrudan — 2011

Czechoslovak Mathematical Journal

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 ${End}_{c} (A)$ is regular is given.

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