Geodesic
Lattice of all topologies of countable module over countable rings
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 63-70

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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: – A sublattice which is isomorphic to the lattice of all real numbers with the usual order; – Two to the power of continuum $(R,\tau_0)$-module topologies each of which is a coatom. 
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     title = {Lattice of all topologies of countable module over countable rings},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
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     number = {2},
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V. I. Arnautov; G. N. Ermakova. Lattice of all topologies of countable module over countable rings. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 2 (2016), pp. 63-70. http://geodesic.mathdoc.fr/item/BASM_2016_2_a5/