Authors: Arnautov Vladimir, G. N. Ermakova
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:
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