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From The Free On-line Dictionary of Computing (05 January 2017) [foldoc]:
linear topology
A linear topology on a left A-module M is a topology
on M that is invariant under translations and admits a
fundamental system of neighborhood of 0 that consists of
submodules of M. If there is such a topology, M is said to be
linearly topologized. If A is given a discrete topology, then M
becomes a topological A-module with respect to a linear topology.
[Wikipedia]
(2014-06-30)