Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
On the number of topologies on countable skew fields
Authors: Arnautov Vladimir, G. N.Ermakova
– 0.13 Mb
Abstract
If a countable skew field R admits a non-discrete metrizable topology τ 0 , then the lattice of all topologies of this skew fields admits: – Continuum of non-discrete metrizable topologies of the skew fields stronger than the topology τ 0 and such that sup{τ 1 ,τ 2 } is the discrete topology for any different topologies τ 1 and τ 2 ; – Continuum of non-discrete metrizable topologies of the skew fields stronger than τ 0 and such that any two of these topologies are comparable; – Two to the power of continuum of topologies of the skew fields stronger than τ 0 , each of them is a coatom in the lattice of all topologies of the skew fields.V. I. Arnautov
Vladimir Andrunachievici Institute of Mathematics
and Computer Science
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:
G. N. Ermacova
Transnistrian State University
25 October str., 128, Tiraspol, 278000
Moldova
E-mail:
Vladimir Andrunachievici Institute of Mathematics
and Computer Science
5 Academiei str., MD-2028, Chisinau
Moldova
E-mail:
G. N. Ermacova
Transnistrian State University
25 October str., 128, Tiraspol, 278000
Moldova
E-mail:
Fulltext
– 0.13 Mb
Contents
- Commutator subgroup of Sylow 2-subgroups of alternating group and the commutator width in the wreath product
- On two stability types for a multicriteria integer linear programming problem
- Closure operators in modules and their characterizations
- On the number of topologies on countable skew fields
- New Algorithms for Finding the Limiting and Differential Matrices in Markov Chains
- Solution of the problem of the center for cubic differential systems with three affine invariant straight lines of total algebraic multiplicity four
- On self-adjoint and invertible linear relations generated by integral equations
- Loops with invariant flexibility under the isostrophy
