Geodesic
On regular endomorphism rings of topological Abelian groups
Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 521-530
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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.
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.
DOI : 10.1007/s10587-011-0070-6
Classification : 16E50, 16S50, 16W80, 20K30, 20K45, 22B05
Keywords: $m$-regular ring; discrete module; quasi-injective module; linearly compact group; LCA group; local product 
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     title = {On regular endomorphism rings of topological {Abelian} groups},
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     pages = {521--530},
     year = {2011},
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Abrudan, Horea Florian. On regular endomorphism rings of topological Abelian groups. Czechoslovak Mathematical Journal, Tome 61 (2011) no. 2, pp. 521-530. doi: 10.1007/s10587-011-0070-6

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