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On the completeness of topological modules free in some classes. (English)
Authors: Filippov K. M.
Abstract
We investigate a topological module which is free in the class of all topological modules admitting a base of neighbourhoods of zero consisting of submodules (subgroups). Some necessary and some sufficient conditions of its completeness are obtained.Institutul de Matematica Academia de Stiinte a Moldovei
str. Academiei 5, MD-2028 Chisinau, Moldova
str. Academiei 5, MD-2028 Chisinau, Moldova
Contents
- Morita contexts and correspondences between lattices of submodules. (Russian)
- A theorem on union of $d$-star-shaped sets. (Russian)
- Planar point groups of tablets and hypertablets $P$-symmetries and their application to the study of multidimensional symmetry groups. (Russian)
- On the generalized Fibonacci sequence. (English)
- Idempotents and the radical with respect to a right ideal. II. (Russian)
- Concordant solutions of linear multidimensional differential equations. (Russian)
- On the completeness of topological modules free in some classes. (English)
- The principle of composition of multidimensional dynamical systems. (Russian)
- Algorithms of choice of optimal configurations in weighted digraphs. (Russian)
- The construction of a numerable collection of precomplete classes of formulae in the provability logic. (English)
- On the strong isomorphism of groups and isomorphism of $P$-symmetries. (Russian)
- Uniqueness of topologies in the case of some constructions of rings and modules. (Russian)
