simple ring
C17815
concept
A simple ring is a nonzero ring that has no nontrivial two-sided ideals, meaning its only two-sided ideals are the zero ideal and the ring itself.
All labels observed (1)
| Label | Occurrences |
|---|---|
| simple ring 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: simple ring
Generated description
A simple ring is a nonzero ring that has no nontrivial two-sided ideals, meaning its only two-sided ideals are the zero ideal and the ring itself.
Instances (1)
| Instance | Via concept surface |
|---|---|
| Weyl algebra | — |