Institutul de Matematică şi Informatică "Vladimir Andrunachievici"
Universitatea de Stat din MoldovaRO EN
Lattice of all topologies of countable module over countable rings
Authors: Arnautov Vladimir, G. N. Ermakova
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Abstract
For any countable ring $ R $ with discrete topology $ \tau _0 $ and any countable $ R $-module $ M $ the lattice of all $ (R, \tau _0) $-module topologies contains: \newline -- A sublattice which is isomorphic to the lattice of all real numbers with the usual order; \newline -- Two to the power of continuum $ (R, \tau _0) $-module topologies each of which is a coatom.V. I. Arnautov
Institute of Mathematics and Computer Science
Academy of Sciences of Moldova
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
Academy of Sciences of Moldova
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
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Contents
- Lacunary Ideal Convergence in Probabilistic Normed Space
- The multiplicative Zagreb co-indices on two graph operators
- On Lagrange algorithm for reduced algebraic irrationalities
- Asymmetric ID-Based Encryption System, Using an Explicit Pairing Function of the Reciprocity Law
- Almost periodicity of functions on universal algebras
- Lattice of all topologies of countable module over countable rings
- Stationary Nash Equilibria for Average Stochastic Games with Finite State and Action Spaces
- General form transversals in groups
- Operations on level graphs of bipolar fuzzy graphs
- On pseudoisomorphy and distributivity of quasigroups
- On spectrum of medial T2-quasigroups
