concept in abstract algebra
C49406
concept
A class in abstract algebra is a collection of elements grouped together under an equivalence relation, typically forming an equivalence class that represents a single "type" or "category" of objects within an algebraic structure.
All labels observed (2)
| Label | Occurrences |
|---|---|
| concept in abstract algebra canonical | 2 |
| concept in Galois theory | 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: concept in abstract algebra
Generated description
A class in abstract algebra is a collection of elements grouped together under an equivalence relation, typically forming an equivalence class that represents a single "type" or "category" of objects within an algebraic structure.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Jacobson radical | — |
| Smith normal form | — |
| Galois correspondence | concept in Galois theory |