Topological module

In mathematics, a topological module is a module over a topological ring such that scalar multiplication and addition are continuous.

An abelian topological group can be considered as a topological module over

is the ring of integers with the discrete topology.

A topological ring is a topological module over each of its subrings.

-adic topology on a ring and its modules.

be an ideal of a ring

form a base for a topology on

into a topological ring.

form a base for a topology on

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