filtered algebra
C17813
concept
A filtered algebra is an algebra equipped with an ascending sequence of subspaces (a filtration) whose union is the whole algebra and such that the product of elements from given filtration levels lies in the corresponding summed level.
All labels observed (1)
| Label | Occurrences |
|---|---|
| filtered 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: filtered algebra
Generated description
A filtered algebra is an algebra equipped with an ascending sequence of subspaces (a filtration) whose union is the whole algebra and such that the product of elements from given filtration levels lies in the corresponding summed level.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Weyl algebra | — |