nonassociative ring
C20468
concept
A nonassociative ring is an algebraic structure with two binary operations (addition and multiplication) where addition forms an abelian group, multiplication is distributive over addition, but multiplication is not required to be associative.
All labels observed (2)
| Label | Occurrences |
|---|---|
| nonassociative algebra | 2 |
| nonassociative 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: nonassociative ring
Generated description
A nonassociative ring is an algebraic structure with two binary operations (addition and multiplication) where addition forms an abelian group, multiplication is distributive over addition, but multiplication is not required to be associative.
Instances (3)
| Instance | Via concept surface |
|---|---|
| Lie ring | — |
|
Lie algebras
surface form:
Lie algebra
|
nonassociative algebra |
| Griess algebra | nonassociative algebra |