quaternion order
C49571
concept
A quaternion order is a subring of a quaternion algebra over a number field that is a finitely generated module spanning the algebra and containing 1, serving as an arithmetic analogue of the ring of integers.
All labels observed (1)
| Label | Occurrences |
|---|---|
| quaternion order 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: quaternion order
Generated description
A quaternion order is a subring of a quaternion algebra over a number field that is a finitely generated module spanning the algebra and containing 1, serving as an arithmetic analogue of the ring of integers.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Hurwitz quaternions | — |