## linear topology

<*theory*>

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]

Last updated: 2014-06-30

### Nearby terms:

linear space ♦ **linear topology** ♦ linear transformation ♦ linear type

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