topological algebra

C38659
concept

A topological algebra is an algebra over a field that is also a topological vector space, where the algebraic operations (addition, scalar multiplication, and multiplication) are continuous with respect to the topology.

All labels observed (1)

Label Occurrences
topological algebra canonical 1

Description generation (CDg)

The one-sentence description above was generated by prompting gpt-5.1 with the class name and this instruction.

Instruction
generate a one-sentence description for a given conceptual class.
# Response Format
Return only the sentence: "Description: [one-sentence description of the conceptional class]"
Input
Class: topological algebra
Generated description
A topological algebra is an algebra over a field that is also a topological vector space, where the algebraic operations (addition, scalar multiplication, and multiplication) are continuous with respect to the topology.

Instances (1)

Instance Via concept surface
Banach algebra