binary operation on sets
C5412
concept
A binary operation on sets is a rule that combines any ordered pair of elements from a set to produce a single element of the same set.
All labels observed (7)
| Label | Occurrences |
|---|---|
| bilinear map | 2 |
| bilinear operation | 2 |
| binary operation | 2 |
| algebraic operation | 1 |
| binary operation on sets canonical | 1 |
| closure operator | 1 |
| operation on vector bundles | 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: binary operation on sets
Generated description
A binary operation on sets is a rule that combines any ordered pair of elements from a set to produce a single element of the same set.
Instances (9)
| Instance | Via concept surface |
|---|---|
| Lie bracket | binary operation |
| Minkowski sum | — |
| Jacobi bracket | bilinear operation |
| Whitney sum | operation on vector bundles |
| Dirichlet convolution | binary operation |
| Poisson bracket | bilinear operation |
| Kleene star | closure operator |
| Kronecker pairing | bilinear map |
|
Whitehead product
linked to:
Whitehead product in homotopy theory
|
algebraic operation |