# Category:Topological Rings

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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 only the following subcategory.

### T

## Pages in category "Topological Rings"

The following 3 pages are in this category, out of 3 total.