Geodesic
Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2024), pp. 137-140 
V. I. Arnautov; G. N. Ermacova. Completeness of the factor group of a complete topological Abelian group by a discrete subgroup. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 1 (2024), pp. 137-140. http://geodesic.mathdoc.fr/item/BASM_2024_1_a8/
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Voir la notice de l'article provenant de la source Math-Net.Ru

The factor group of a Hausdorff topological Abelian group by a discrete subgroup is complete iff the topological group is complete and the factor ring of a Hausdorff topological ring by a discrete ideal is complete iff the topological ring is complete.

[1] Arnautov V. I., Glavatsky S. T., Mikhalev A. V., Introduction to the topological rings and modules, Marcel Dekker, inc., New York-Basel-Hong Kong, 1996 | MR | Zbl

[2] V.I. Arnautov, S.T.Glavatsky, G.N.Ermakova, A.V.Mikhalev, “On factor rings of complete topological rings”, Fundamental and Applied Mathematics, 24:3 (2023), 3-9 (in Russian) | MR