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Completeness of the factor group of a complete topological Abelian group by a discrete subgroup.

Completeness of the factor group of a complete topological Abelian group by a discrete subgroup.

Authors :
Arnautov, V. I.
Ermakova, G. N.
Source :
Buletinul Academiei de Ştiinţe a Republicii Moldova: Matematica; 2024, Vol. 104/105 Issue 1/2, p137-140, 4p
Publication Year :
2024

Abstract

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10247696
Volume :
104/105
Issue :
1/2
Database :
Complementary Index
Journal :
Buletinul Academiei de Ştiinţe a Republicii Moldova: Matematica
Publication Type :
Academic Journal
Accession number :
181559778
Full Text :
https://doi.org/10.56415/basm.y2024.i1-2.p137