Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
Authors: Arnautov Vladimir, G. N. Ermakova
Keywords: topological groups, topological rings, factor group of a topological group, factor ring of a topological ring, directed set, Cauchy sequence by a directed set, limit of a sequence by a directed set, complete topological group, complete topological ring
– 0.23 Mb
Keywords: topological groups, topological rings, factor group of a topological group, factor ring of a topological ring, directed set, Cauchy sequence by a directed set, limit of a sequence by a directed set, complete topological group, complete topological ring
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.V. I. Arnautov
Institute of Mathematics and Computer Science Vladimir
Andrunachevici
of Moldova of the State University
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:
G. N. Ermacova
Transnistrian State University
25 October str., 128, Tiraspol, 278000
Moldova
E-mail:
Institute of Mathematics and Computer Science Vladimir
Andrunachevici
of Moldova of the State University
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:
G. N. Ermacova
Transnistrian State University
25 October str., 128, Tiraspol, 278000
Moldova
E-mail:
DOI
https://doi.org/10.56415/basm.y2024.i1-2.p137Fulltext
– 0.23 Mb
Contents
- Professor Boris Șcerbacov - 100th anniversary
- Metrically piecewise continuous p-almost periodic functions and applications
- Poisson Stable Solutions of Semi-Linear Differential Equations
- Asymptotic behaviour of non-autonomous Caputo fractional differential equations with a one-sided dissipative vector field
- The comparability of motions in dynamical systems and recurrent solutions of (S)PDEs
- The family of cubic differential systems with two real and two complex distinct infinite singularities and invariant straight lines of the type (2,2,2)
- On the attractors of weakly hyperbolic IFS's with condensation
- An optimality criterion for disjoint bilinear programming and its application to the problem with an acute-angled polytope for a disjoint subset
- Completeness of the factor group of a complete topological Abelian group by a discrete subgroup
- Remembering Professor B. A. Shcherbakov (1924-2017)
