Category:Definitions/Topological Rings
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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.
T
Pages in category "Definitions/Topological Rings"
The following 5 pages are in this category, out of 5 total.