A topological algebra is a pair , where is an algebra and each of the operations is continuous in the product topology. Examples of topological algebras include topological groups, topological vector spaces, and topological rings.

# Topological Algebra

## See also

Topological Group, Topological Partial Algebra, Topological Ring, Topological Vector Space
*This entry contributed by Matt Insall
(author's link)*

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## References

Coleman, J. P. "Topological Equivalents to -Permutability."*Algebra Universalis*

**38**, 200-209, 1997.Kearnes, K. and Sequeira, L. "Hausdorff Properties of Topological Algebras."

*Algebra Universalis*

**47**, 343-366, 2002.

## Referenced on Wolfram|Alpha

Topological Algebra## Cite this as:

Insall, Matt. "Topological Algebra." From *MathWorld*--A Wolfram Web Resource, created by Eric
W. Weisstein. https://mathworld.wolfram.com/TopologicalAlgebra.html