# Category:Topological Rings

This category contains results about Topological Rings.
Definitions specific to this category can be found in Definitions/Topological Rings.

Let $\struct{R, +, \circ}$ be a ring.

Let $\tau$ be a topology over $R$.

Then $\struct {R, +, \circ, \tau}$ is a topological ring if and only if:

$(1): \quad \struct {R, +, \tau}$ is a topological group
$(2): \quad \struct {R, \circ,\tau}$ is a topological semigroup.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Topological Rings"

The following 2 pages are in this category, out of 2 total.