The quotient of the free algebra $F_2\langle a, b, c\rangle/(a^2, b^2, ab, ba, ac, bc, ca-b, cb-a)$ where $F_2$ is the field of two elements.

Keywords free algebra quotient ring

- P. Nielsen. Symmetry of unique generator property. (2022) @ MO post solution

Symmetric properties

Asymmetric properties

Legend

- = has the property
- = does not have the property
- = information not in database

(Nothing was retrieved.)

Name | Description |
---|---|

Idempotents | $\{0,1\}$ |

Jacobson radical | $(a)=(a,b)$. |