Category:Definitions/Topological Rings

From ProofWiki
Jump to navigation Jump to search

This category contains definitions related to Topological Rings.
Related results can be found in Category: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.

Pages in category "Definitions/Topological Rings"

The following 5 pages are in this category, out of 5 total.