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.

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.
@article{BASM_2024_1_a8,
     author = {V. I. Arnautov and G. N. Ermacova},
     title = {Completeness of the factor group of a complete topological {Abelian} group by a discrete subgroup},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {137--140},
     publisher = {mathdoc},
     number = {1},
     year = {2024},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/BASM_2024_1_a8/}
}
TY  - JOUR
AU  - V. I. Arnautov
AU  - G. N. Ermacova
TI  - Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
JO  - Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
PY  - 2024
SP  - 137
EP  - 140
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/BASM_2024_1_a8/
LA  - en
ID  - BASM_2024_1_a8
ER  - 
%0 Journal Article
%A V. I. Arnautov
%A G. N. Ermacova
%T Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
%J Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica
%D 2024
%P 137-140
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/BASM_2024_1_a8/
%G en
%F BASM_2024_1_a8
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/

[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