Geodesic
On LCA groups with locally compact rings of continuous endomorphisms.~I
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2014), pp. 65-79.

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We determine the discrete abelian groups and the compact abelian groups with the property that their rings of continuous endomorphisms are locally compact in the compact-open topology. 
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Valeriu Popa. On LCA groups with locally compact rings of continuous endomorphisms.~I. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2014), pp. 65-79. http://geodesic.mathdoc.fr/item/BASM_2014_3_a6/

[1] Armacost D. L., The structure of locally compact abelian groups, Pure and Applied Mathematics Series, 68, Marcel Dekker, New York, 1981 | MR | Zbl

[2] Bourbaki N., Topologie generale, Chapter IX–X. Éléments de mathematique, Nauka, Moscow, 1975 | Zbl

[3] Braconnier J., “Sur les groupes topologiques localement compact”, J. Math. Pures Apl., 27:9 (1948), 1–85 | MR | Zbl

[4] Dikranjan D., Prodanov I., Stoyanov L., Topological groups, Pure and Applied Mathematics Series, 130, Marcel Dekker, New York–Basel, 1990 | MR | Zbl

[5] Fuchs L., Infinite abelian groups, v. 1, Academic Press, New York–London, 1970 | MR | Zbl

[6] Fuchs L., Infinite abelian groups, v. 2, Academic Press, New York–London, 1973 | MR | Zbl

[7] Hewitt E., Ross K., Abstract Harmonic Analysis, v. 1, Academic Press, New York, 1963

[8] Hungerford Th. W., Algebra, Springer-Verlag, New York, 1974 | MR

[9] Levin M., “The automorphism group of a locally compact abelian group”, Acta Math., 127 (1971), 259–278 | DOI | MR | Zbl

[10] Mel'nikov O., “Compactness conditions for groups of automorphisms of topological groups”, Mat. Zametki, 19:5 (1976), 735–743 | MR | Zbl

[11] Moskowitz M., “Homological algebra in locally compact abelian groups”, Trans. Amer. Math. Soc., 127 (1967), 361–404 | DOI | MR | Zbl

[12] Plaumann P., “Automorphism groups of locally compact abelian groups”, Lecture Notes Math., 874, 1981, 272–282 | DOI | MR | Zbl

[13] Robertson L., “Connectivity, divisibility, and torsion”, Trans. Amer. Math. Soc., 128 (1967), 482–505 | DOI | MR | Zbl