Linear topology

Not to be confused with Linear bus 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.

References



This article is issued from Wikipedia - version of the Monday, June 24, 2013. The text is available under the Creative Commons Attribution/Share Alike but additional terms may apply for the media files.