principal ideal domain
C6486
concept
A principal ideal domain is an integral domain in which every ideal is generated by a single element.
All labels observed (1)
| Label | Occurrences |
|---|---|
| principal ideal domain canonical | 2 |
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: principal ideal domain
Generated description
A principal ideal domain is an integral domain in which every ideal is generated by a single element.
Instances (2)
| Instance | Via concept surface |
|---|---|
| Gaussian integers | — |
| Hurwitz quaternions | — |