Linearly Topologized Ring

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.

See also

*
*
*
*
*
*
*
*
*

References

* Bourbaki, N. (1972). Commutative algebra (Vol. 8). Hermann.

Topology
Topological algebra
Topological groups

{{algebra-stub