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In algebra, a linear topology on a left A {\displaystyle A} -module M {\displaystyle M} is a topology on M {\displaystyle M} that is invariant under translations and admits a fundamental system of neighborhood of 0 {\displaystyle 0} that consists of submodules of M . {\displaystyle M.} If there is such a topology, M {\displaystyle M} is said to be linearly topologized. If A {\displaystyle A} is given a discrete topology, then M {\displaystyle M} becomes a topological A {\displaystyle A} -module with respect to a linear topology.

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