associative algebra with operator
C37701
concept
An associative algebra with operator is an associative algebra equipped with a distinguished linear operator (such as a derivation, endomorphism, or Rota–Baxter operator) that interacts with the multiplication according to specified compatibility relations.
All labels observed (2)
| Label | Occurrences |
|---|---|
| algebraic operator | 1 |
| associative algebra with operator 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: associative algebra with operator
Generated description
An associative algebra with operator is an associative algebra equipped with a distinguished linear operator (such as a derivation, endomorphism, or Rota–Baxter operator) that interacts with the multiplication according to specified compatibility relations.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Rota–Baxter algebra | — |
| Hecke operators | algebraic operator |