Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Properties of final unrefinable chains of groups topologies
Authors: Arnautov Vladimir
then k≤n for any chain τ=τ0'<τ1'<...<τk'τ' of topologies from M.
– 0.19 Mb
Abstract
Let G be a nilpotent group and (M,<) be the lattice of all group topologies or the lattice of all group topologies in each of which the group G possesses a basis of neighborhood of unit consisting of subgroups. If τ and τ' are group topologies from M such that then k≤n for any chain τ=τ0'<τ1'<...<τk'τ' of topologies from M.
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Contents
- Properties of final unrefinable chains of groups topologies
- On subsemimodules of semimodules
- Abstract complexes, their homologies and applications
- A criterion for parametrical completeness in the 8-valued algebraic model of modal logic S5
- On Solvability of one Class of Hammerstein Nonlinear Integral Equations
- Algorithms for Determining the Transient and Differential Matrices in Finite Markov Processes
- On the centralizers of finite subgroups in quasi-HNN groups
- New Inequalities of Hardy-Hilbert Type
- On the Diophantine equation xxyyk(y)=zzp
