Linear topology

In algebra, 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.